Question 12 Marks
Write down the following product:
$\left(3-x^2\right)\left(5+x^2\right)$
View full question & answer→Question 22 Marks
Write down the following product:
$\left(x^2+1\right)\left(x^2+2\right)$
Answer$x^4+3 x^2+2$
[Hint. Put $x^2=y$ ]
View full question & answer→Question 32 Marks
Write down the following product:
$(5-x y)(2+x y)$
View full question & answer→Question 42 Marks
Write down the following product:
$(a b+3)(a b-2)$
View full question & answer→Question 52 Marks
Write down the following product:
$(y-7)(y+4)$
View full question & answer→Question 62 Marks
Write down the following product:
$(2-x)(4-x)$
View full question & answer→Question 72 Marks
Write down the following product:
$(x-5)(x-7)$
View full question & answer→Question 82 Marks
Write down the following product:
$(x+8)(x-3)$
View full question & answer→Question 92 Marks
Write down the following product:
$\left(3 a^2-b^2\right)\left(2 a^2+5 b^2\right)$
Answer$6 a^4+13 a^2 b^2-5 b^4$
View full question & answer→Question 102 Marks
Write down the following product:
$(2 y-3)(3 y-5)$
View full question & answer→Question 112 Marks
Write down the following product:
$(7 m-2)(4 m+3)$
View full question & answer→Question 122 Marks
Write down the following product:
$(2 x+3)(3 x+5)$
View full question & answer→Question 132 Marks
Write down the following product:
$(6-x)(x+5)$
View full question & answer→Question 142 Marks
Write down the following product:
$(x+6)(x+2)$
View full question & answer→Question 152 Marks
If $\left(x+\frac{1}{x}\right)=4$, find the values of : $\left(x^3-\frac{1}{x^3}\right)$.
View full question & answer→Question 162 Marks
If $\left(x+\frac{1}{x}\right)=4$, find the values of : $\left(x-\frac{1}{x}\right)$
View full question & answer→Question 172 Marks
If $\left(x+\frac{1}{x}\right)=4$, find the values of :$\left(x^3+\frac{1}{x^3}\right)$
View full question & answer→Question 182 Marks
Expand : $\left(\frac{1}{2} x-\frac{2}{3} y\right)^3$
Answer$\frac{1}{8} x^3-\frac{1}{2} x^2 y+\frac{2}{3} x y^2+\frac{8}{27} y^3$
View full question & answer→Question 192 Marks
Expand : $\left(3 a-\frac{1}{a}\right)^3$
Answer$27 a^3-27 a+\frac{9}{a}-\frac{1}{a^3}$
View full question & answer→Question 202 Marks
Expand : $(3 a b-2 c)^3$
Answer$27 a^3 b^3-54 a^2 b^2 c+36 a b c^2-8 c^3$
View full question & answer→Question 212 Marks
Expand : $\left(2 x+\frac{1}{3 x}\right)^3$
Answer$8 x^3+4 x+\frac{2}{3 x}+\frac{1}{27 x^3}$
View full question & answer→Question 222 Marks
Expand : $(2 p-3 q)^3$
Answer$8 p^3-36 p^2 q+54 p q^2-27 q^3$
View full question & answer→Question 232 Marks
Expand : $(3 a+5 b)^3$
Answer$27 a^3+135 a^2 b+225 a b^2+125 b^3$
View full question & answer→Question 242 Marks
Find the product using suitable identities : (ii) $\left(y-\frac{6}{y}\right)\left(y^2+6+\frac{36}{y^2}\right)$
Answer$y^3-\frac{216}{y^3}$
View full question & answer→Question 252 Marks
Find the product using suitable identities : (i) $(3 a+4 b)\left(9 a^2-12 a b+16 b^2\right)$
View full question & answer→Question 262 Marks
If $\left(x^2+\frac{1}{25 x^2}\right)=8 \frac{3}{5}$, find the values of : (ii) $\left(x^3+\frac{1}{125 x^3}\right)$.
Answer$\pm 25 \frac{1}{5}$
View full question & answer→Question 272 Marks
If $\left(x^2+\frac{1}{25 x^2}\right)=8 \frac{3}{5}$, find the values of : $\left(x+\frac{1}{5 x}\right)$
View full question & answer→Question 282 Marks
If $\left(a^2+\frac{1}{a^2}\right)=27$, find the values of :$\left(a^3-\frac{1}{a^3}\right)$.
View full question & answer→Question 292 Marks
If $\left(a^2+\frac{1}{a^2}\right)=27$, find the values of : $\left(a-\frac{1}{a}\right)$
View full question & answer→Question 302 Marks
If $\left(a-\frac{1}{a}\right)=\sqrt{5}$, find the values of : $\left(a^3+\frac{1}{a^3}\right)$.
View full question & answer→Question 312 Marks
If $\left(a-\frac{1}{a}\right)=\sqrt{5}$, find the values of : $\left(a+\frac{1}{a}\right)$
View full question & answer→Question 322 Marks
If $\left(a^2+\frac{1}{a^2}\right)=23$, find the values of : $\left(a^3+\frac{1}{a^3}\right)$.
View full question & answer→Question 332 Marks
If $\left(a^2+\frac{1}{a^2}\right)=23$, find the values of : $\left(a+\frac{1}{a}\right)$
View full question & answer→Question 342 Marks
Using the standard formulae, expand:
$(y-6)(y-4)$
View full question & answer→Question 352 Marks
Using the standard formulae, expand:
$(a+13)(a-8)$
View full question & answer→Question 362 Marks
Using the standard formulae, expand:
$(x+7)(x+4)$
View full question & answer→Question 372 Marks
Using the standard formulae, expand:
$\left(2 x+\frac{3}{x}-1\right)^2$
Answer$4 x^2+\frac{9}{x^2}+13-\frac{6}{x}-4 x$
View full question & answer→Question 382 Marks
Using the standard formulae, expand:
$\left(\frac{2 x}{3}+\frac{3}{2 y}-2\right)^2$
Answer$\frac{4 x^2}{9}+\frac{9}{4 y^2}+4+2 \cdot \frac{x}{y}-\frac{6}{y}-\frac{8 x}{3}$
View full question & answer→Question 392 Marks
Using the standard formulae, expand:
$\left(\frac{a}{2}+\frac{b}{3}+\frac{c}{4}\right)^2$
Answer$\frac{a^2}{4}+\frac{b^2}{9}+\frac{c^2}{16}+\frac{a b}{3}+\frac{b c}{6}+\frac{a c}{4}$
View full question & answer→Question 402 Marks
Using the standard formulae, expand:
$(7-2 x-3 y)^2$
Answer$49+4 x^2+9 y^2-28 x+12 x y-42 y$
View full question & answer→Question 412 Marks
Using the standard formulae, expand:
$(4 x-3 y+z)^2$
Answer$16 x^2+9 y^2+z^2-24 x y-6 y z+8 x z$
View full question & answer→Question 422 Marks
Using the standard formulae, expand:
$(6-2 y+4 z)^2$
Answer$36+4 y^2+16 z^2-24 y-16 y z+48 z$
View full question & answer→Question 432 Marks
Using the standard formulae, expand:
$(2 x-3 y+7 z)^2$
Answer$4 x^2+9 y^2+49 z^2-12 x y-42 y z+28 x z$
View full question & answer→Question 442 Marks
Using the standard formulae, expand:
$(3 x+5 y-2 z)^2$
Answer$9 x^2+25 y^2+4 z^2+30 x y-20 y z-12 x z$
View full question & answer→Question 452 Marks
Using the standard formulae, expand:
$(a+2 b+3 c)^2$
Answer$a^2+4 b^2+9 c^2+4 a b+12 b c+6 a c$
View full question & answer→Question 462 Marks
Using the standard formulae, expand:
$\left(5 x-\frac{2}{3 x}\right)^2$
Answer$25 x^2+\frac{4}{9 x^2}-\frac{20}{3}$
View full question & answer→Question 472 Marks
Using the standard formulae, expand:
$\left(\frac{3 a}{2 b}-\frac{2 b}{3 a}\right)^2$
Answer$\frac{9 a^4}{4 b^2}+\frac{4 b^2}{9 a^2}-2$
View full question & answer→Question 482 Marks
Using the standard formulae, expand:
$\left(a^2-\frac{b}{2}\right)^2$
Answer$a^4+\frac{b^2}{4}-a^2 b$
View full question & answer→Question 492 Marks
Using the standard formulae, expand:
$\left(\frac{1}{2} x-\frac{3}{2} y\right)^2$
Answer$\frac{x^2}{4}+\frac{9}{4} y^2-\frac{3}{2} x y$
View full question & answer→Question 502 Marks
Using the standard formulae, expand:
$(3 a-7 b)^2$
Answer$9 a^2+49 b^2-42 a b$
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