Question 12 MarksFactorise : $125 x^3+1$Answer$(5 x+1)\left(25 x^2-5 x+1\right)$View full question & answer→
Question 22 MarksFactorise : $a^4+343 a$Answer$a(a+7)\left(a^2-7 a+49\right)$View full question & answer→
Question 32 MarksFactorise : $a^6+b^6$Answer$\left(a^2+b^2\right)\left(a^4-a^2 b^2+b^4\right)$View full question & answer→
Question 42 MarksFactorise : $216 x^3+\frac{1}{27}$Answer$\left(6 x+\frac{1}{3}\right)\left(36 x^2-2 x+\frac{1}{9}\right)$View full question & answer→
Question 52 MarksFactorise : $16 x^4+54 x$Answer$2 x(2 x+3)\left(4 x^2-6 x+9\right)$View full question & answer→
Question 62 MarksFactorise : $x^5+x^2$Answer$x^2(x+1)\left(x^2-x+1\right)$View full question & answer→
Question 72 MarksFactorise : $7 a^3+56 b^3$Answer$7(a+2 b)\left(a^2-2 a b+4 b^2\right)$View full question & answer→
Question 82 MarksFactorise : $x^3-3 x^2+3 x+7$Answer$(x+1)\left(x^2-4 x+7\right)$View full question & answer→
Question 92 MarksFactorise : $(a+b)^{ 3 }+(a-b)^3$Answer$2 a\left(a^2+3 b^2\right)$[Hint.Given Exp.=$x^3+y^3$, where $(a+b)=x$ and $(a-b)=y$$=(x+y)\left[x^2-x y+y^2\right]$$=(a+b+a-b)\left[(a+b)^2-\left(a^2-b^2\right)+(a-b)^2\right]$$\left.=2 a\left(a^2+3 b^2\right)\right]$View full question & answer→
Question 102 MarksFactorise : $a^2-4 b^2+a^3-8 b^3-(a-2 b)^2$Answer$(a-2 b)\left(a^2+4 b^2+2 a b\right)$View full question & answer→
Question 112 MarksFactorise : $32 a^2 x^3-8 b^2 x^3-4 a^2 y^3+b^2 y^3$Answer$(2 a+b)(2 a-b)(2 x-y)\left(4 x^2+2 x y+y^2\right)$View full question & answer→
Question 122 MarksFactorise : $a^3-27 b^3+2 a^2 b-6 a b^2$Answer$(a-3 b)\left(a^2+5 a b+9 b^2\right)$View full question & answer→
Question 132 MarksFactorise : $8 a^3-b^3-4 a x+2 b x$Answer$(2 a-b)\left(4 a^2+2 a b+b^2-2 x\right)$View full question & answer→
Question 142 MarksFactorise : $250(a-b)^3+2$Answer$2\left[(5 a-5 b+1)\left(25 a^2+25 b^2-50 a b-5 a+5 b+1\right)\right]$View full question & answer→
Question 152 MarksFactorise : $2 x^7-128 x$Answer$2 x(x-2)(x+2)\left(x^2+2 x+4\right)\left(x^2-2 x+4\right)$View full question & answer→
Question 162 MarksFactorise : $a^3-\frac{1}{a^3}-2 a+\frac{2}{a}$Answer$\left(a-\frac{1}{a}\right)\left(a^2+\frac{1}{a^2}-1\right)$View full question & answer→
Question 172 MarksFactorise : $8 a^3+27 b^3$Answer$(2 a+3 b)\left(4 a^2-6 a b+9 b^2\right)$View full question & answer→
Question 182 MarksFactorise : $3 a^7 b-81 a^4 b^4$Answer$3 a^4 b(a-3 b)\left(a^2+3 a b+9 b^2\right)$View full question & answer→
Question 192 MarksFactorise : $24 x^4-375 x$Answer$3 x(2 x-5)\left(4 x^2+10 x+25\right)$View full question & answer→
Question 202 MarksFactorise : $a^3-0.064$Answer$(a-0.4)\left(a^2+0.4 a+0.16\right)$View full question & answer→
Question 212 MarksFactorise : $x^6-1$Answer$(x-1)(x+1)\left(x^2+x+1\right)\left(x^2-x+1\right)$View full question & answer→
Question 222 MarksFactorise : $a-8 a b^3$Answer$a(1-2 b)\left(1+2 b+4 b^2\right)$View full question & answer→
Question 232 MarksFactorise : $\frac{8 a^3}{27}-\frac{b^3}{8}$Answer$\left(\frac{2 a}{3}-\frac{b}{2}\right)\left(\frac{4 a^2}{9}+\frac{a b}{3}+\frac{b^2}{4}\right)$View full question & answer→
Question 242 MarksFactorise : $8 a^3-\frac{1}{27 b^3}$Answer$\left(2 a-\frac{1}{3 b}\right)\left(4 a^2+\frac{2 a}{3 b}+\frac{1}{9 b^2}\right)$View full question & answer→
Question 252 MarksFactorise : $x^3-125$Answer$(x-5)\left(x^2+5 x+25\right)$View full question & answer→
Question 262 MarksFactorise : $a^3-125-2 a+10$Answer$(a-5)\left(a^2+5 a+23\right)$View full question & answer→
Question 272 MarksFactorise : $2 a^3+16 b^3-3 a-6 b$Answer$(a+2 b)\left[2\left(a^2-2 a b+4 b^2\right)-3\right]$View full question & answer→
Question 282 MarksFactorise : $x^3+64$Answer$(x+4)\left(x^2-4 x+16\right)$View full question & answer→
Question 292 MarksFactorise : $x(x+y)^3-3 x^2 y(x+y)$Answer$x(x+y)\left(x^2+y^2-x y\right)$View full question & answer→
Question 302 MarksFactorise : $6(2 a+3 b)^2-8(2 a+3 b)$Answer$2(2 a+3 b)(6 a+9 b-4)$View full question & answer→
Question 332 MarksFactorise : $2 x\left(p^2+q^2\right)+4 y\left(p^2+q^2\right)$Answer$2\left(p^2+q^2\right)(x+2 y)$View full question & answer→
Question 352 MarksFactorise : $27 x^2 y^3-45 x^4 y^2$Answer$9 x^3 y^2(3 y-5 x)$View full question & answer→
Question 362 MarksFactorise : $x^2+\frac{1}{x^2}-2-3 x+\frac{3}{x}$Answer$\left(x-\frac{1}{x}\right)\left(x-\frac{1}{x}-3\right)$View full question & answer→
Question 372 MarksFactorise : $a^3+a b(1-2 a)-2 b^2$Answer$(a-2 b)\left(a^2+b\right)$View full question & answer→
Question 382 MarksFactorise : $a b\left(x^2+1\right)+x\left(a^2+b^2\right)$Answer$(a x+b)(b x+a)$View full question & answer→
Question 392 MarksFactorise : $a b\left(x^2+y^2\right)-x y\left(a^2+b^2\right)$Answer$(b x-a y)(a x-b y)$View full question & answer→
Question 402 MarksFactorise : $3 a x-6 a y-8 b y+4 b x$Answer$(3 a+4 b)(x-2 y)$View full question & answer→
Question 452 MarksFactorise : $8-4 a-2 a^3+a^4$Answer$(2-a)\left(4-a^3\right)$View full question & answer→
Question 492 MarksFactorise : $a^3 b-a^2 b+5 a b-5 b$Answer$b(a-1)\left(a^2+5\right)$View full question & answer→