Question 1012 Marks
Write down the following product:
(x - 5) (x - 7)
Question 1022 Marks
Write down the following product:
(x + 8) (x - 3)
Question 1032 Marks
Write down the following product:
(x + 6) (x + 2)
Question 1042 Marks
Find the product using suitable identitie:
$\left(y-\frac{6}{y}\right)\left(y^2+6+\frac{36}{y^2}\right)$
Answer$y^3-\frac{216}{y^3}$
View full question & answer→Question 1052 Marks
Find the product using suitable identitie:
(3a + 4b) (9a2 - 12ab + 16b2)
Question 1062 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 1072 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 1082 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 1092 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 1102 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 1112 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 1122 Marks
Using the standard formulae, expand:
(x - 5) (2x - 1) (2x + 3)
$\begin{aligned} {[\text { Hint. (ii) }(x-5)(2 x-1)(2 x+3)} & =(x-5)\left[4 x^2+6 x-2 x-3\right] \\ & =(x-5)\left(4 x^2+4 x-3\right) \\ & \left.=x\left(4 x^2+4 x-3\right)-5\left(4 x^2+4 x-3\right) \text { etc. }\right]\end{aligned}$
Answer$4 x^3-16 x^2-23 x+15$
View full question & answer→Question 1132 Marks
Using the standard formulae, expand:
(x- 2) (x - 3) (x + 4)
Question 1142 Marks
Using the standard formulae, expand:
$(x+y)(x-y)\left(x^2+y^2\right)$
View full question & answer→Question 1152 Marks
Using the standard formulae, expand:
$(2-x)(2+x)\left(4+x^2\right)$
View full question & answer→Question 1162 Marks
Using the standard formulae, expand:
$\left(2 x^2+\frac{3}{x^2}\right)\left(2 x^2-\frac{3}{x^2}\right)$
Answer$4 x^4-\frac{9}{x^4}$
View full question & answer→Question 1172 Marks
Using the standard formulae, expand:
$\left(5 x+\frac{1}{5 x}\right)\left(5 x-\frac{1}{5 x}\right)$
Answer$25 x^2-\frac{1}{25 x^2}$
View full question & answer→Question 1182 Marks
Using the standard formulae, expand:
(3a + 2b) (3а - 2b)
Question 1192 Marks
Using the standard formulae, expand:
(3 - 7a) (3 + 4a)
Question 1202 Marks
Using the standard formulae, expand:
(5x - 4y) (5x + 3y)
Answer$25 x^2-5 x y-12 y^2$
View full question & answer→Question 1212 Marks
Using the standard formulae, expand:
(9 + 2x) (9 - 3x)
Question 1222 Marks
Using the standard formulae, expand:
(y - 6) (y - 4)
Question 1232 Marks
Using the standard formulae, expand:
(a + 13) (a - 8)
Question 1242 Marks
Using the standard formulae, expand:
(x + 7) (x + 4)
Question 1252 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 1262 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 1272 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 1282 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 1292 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 1302 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 1312 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 1322 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 1332 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 1342 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 1352 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 1362 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 1372 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 1382 Marks
Using the standard formulae, expand:
$(3 a-7 b)^2$
Answer$9 a^2+49 b^2-42 a b$
View full question & answer→Question 1392 Marks
Using the standard formulae, expand:
$(5 x-3 y)^2$
Answer$25 x^2+9 y^2-30 x y$
View full question & answer→Question 1402 Marks
Using the standard formulae, expand:
$\left(6+\frac{5}{x}\right)^2$
Answer$36+\frac{25}{x^2}+\frac{60}{x}$
View full question & answer→Question 1412 Marks
Using the standard formulae, expand:
$\left(\frac{x}{3}+\frac{6}{x}\right)^2$
Answer$\frac{x^2}{9}+\frac{36}{x^2}+4$
View full question & answer→Question 1422 Marks
Using the standard formulae, expand:
$\left(\frac{2}{5} x+\frac{5}{6} y\right)^2$
Answer$\frac{4}{25} x^2+\frac{25}{36} y^2+\frac{2}{3} x y$
View full question & answer→Question 1432 Marks
Using the standard formulae, expand:
$\left(2 x+\frac{1}{3 x}\right)^2$
Answer$4 x^2+\frac{1}{9 x^2}+\frac{4}{3}$
View full question & answer→Question 1442 Marks
Using the standard formulae, expand:
$\left(3 x^2 y+z\right)^2$
Answer$9 x^4 y^2+z^2+6 x^2 y z$
View full question & answer→Question 1452 Marks
Using the standard formulae, expand:
$\left(2 a^2+3 b\right)^2$
Answer$4 a^4+9 b^2+12 a^2 b$
View full question & answer→Question 1462 Marks
Using the standard formulae, expand:
$(\sqrt{2} m+\sqrt{3} n)^2$
Answer$2 m^2+3 n^2+2 \sqrt{6} m n$
View full question & answer→Question 1472 Marks
Using the standard formulae, expand:
$(3 x+10 y)^2$
Answer$9 x^2+100 y^2+60 x y$
View full question & answer→Question 1482 Marks
Using the standard formulae, expand:
$(4 a+9)^2$
View full question & answer→