Question 1012 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 1022 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 1032 MarksFactorise:$x^3-125$Answer$(x-5)\left(x^2+5 x+25\right)$View full question & answer→
Question 1042 MarksFactorise:$a^3-125-2 a+10$Answer$(a-5)\left(a^2+5 a+23\right)$View full question & answer→
Question 1052 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 1062 MarksFactorise:$125 x^3+1$Answer$(5 x+1)\left(25 x^2-5 x+1\right)$View full question & answer→
Question 1072 MarksFactorise:$a^4+343 a$Answer$a(a+7)\left(a^2-7 a+49\right)$View full question & answer→
Question 1082 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 1092 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 1102 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 1112 MarksFactorise:$x^5+x^2$Answer$x^2(x+1)\left(x^2-x+1\right)$View full question & answer→
Question 1122 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 1132 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 1142 MarksFactorise:$x^3+64$Answer$(x+4)\left(x^2-4 x+16\right)$View full question & answer→
Question 1172 MarksFactorise:$9 a^2+3 a-8 b-64 b^2$ [Hint. Given Exp. $\left.=\left(9 a^2-64 b^2\right)+(3 a-8 b)\right]$Answer(3a - 8b) (3a + 8b + 1)View full question & answer→
Question 1182 MarksFactorise:$4 x^2-12 a x-y^2-z^2-2 y z+9 a^2 \quad\left[\right.$ Hint. Given Exp. $\left.=\left(4 x^2-12 a x+9 a^2\right)-\left(y^2+z^2+2 y z\right)\right]$Answer(2x - 3a + y + z) (2x - 3a - y - z)View full question & answer→
Question 1192 MarksFactorise:$\left(a^2-b^2\right)\left(c^2-d^2\right)-4 a b c d \quad\left[\right.$ Hint. Given Exp $\left.=(a c-b d)^2-(a d+b c)^2\right]$Answer(ac - bd + ad + bc) (ac - bd - ad - bc)View full question & answer→
Question 1202 MarksFactorise:$a^2+b^2-c^2-d^2+2 a b-2 c d$Answer(a + b + c + d) (a + b - c - d)View full question & answer→
Question 1212 MarksFactorise:$x^4+5 x^2+9$ [Hint. Add and subtract $x^2$ ]Answer$\left(x^2+3+x\right)\left(x^2+3-x\right)$View full question & answer→
Question 1222 MarksFactorise:$x^2+\frac{1}{x^2}-11$ [Hint. Given Exp. $=\left(x^2+\frac{1}{x^2}-2\right)-9$ ]Answer$\left(x-\frac{1}{x}+3\right)\left(x-\frac{1}{x}-3\right)$View full question & answer→
Question 1232 MarksFactorise:$9 x^4-x^2-12 x-36$Answer$\left(3 x^2+x+6\right)\left(3 x^2-x-6\right)$View full question & answer→
Question 1252 MarksFactorise:x(x - 2) - y(y - 2)Answer(x - y) (x + y - 2)View full question & answer→
Question 1262 MarksFactorise:x(x + z) - y(y + z)Answer(x - y) (x + y + z)View full question & answer→
Question 1292 MarksFactorise:$x^2-y^2-4 x z+4 z^2$Answer(x - 2z + y) (x - 2z - y)View full question & answer→
Question 1302 MarksFactorise:$x^2-y^2+2 y z-z^2$Answer(x + y - z) (x - y + z)View full question & answer→
Question 1312 MarksFactorise:$x^2-1-2 a-a^2$Answer(x + 1 + a) (x - 1 - a)View full question & answer→
Question 1322 MarksFactorise:$a^2(b+c)-(b+c)^3$Answer(b + c) (a + b + c)(a - b - c)View full question & answer→
Question 1342 MarksFactorise:$50 a^2-2(b-c)^2$Answer2(5a + b - c) (5a - b + c)View full question & answer→
Question 1352 MarksFactorise:$3-12(a-b)^2$Answer3[(1 + 2a - 2b) (1 - 2a + 2b)]View full question & answer→
Question 1382 MarksFactorise:$x^3-5 x^2-x+5$Answer(x - 5) (x + 1) (x - 1)View full question & answer→
Question 1392 MarksFactorise:$2 x^4-32$Answer$2\left(x^2+4\right)(x+2)(x-2)$View full question & answer→
Question 1402 MarksFactorise:$x^4-81$Answer$\left(x^2+9\right)(x+3)(x-3)$View full question & answer→
Question 1472 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 1482 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 1492 MarksFactorise:$a b\left(x^2+1\right)+x\left(a^2+b^2\right)$Answer(ax + b) (bx + a)View full question & answer→
Question 1502 MarksFactorise:$a b\left(x^2+y^2\right)-x y\left(a^2+b^2\right)$Answer(bx - ay) (ax - by)View full question & answer→