Question 512 MarksFactorise : $a^3+2 a^2+5 a+10$Answer$(a+2)\left(a^2+5\right)$View full question & answer→
Question 532 MarksIf $x+y=7$ and $x^2+y^2=25$, then find the value of $\sqrt{x y}$.Answer$2 \sqrt{3}$View full question & answer→
Question 542 MarksWhat is the simplified form of the expression $\frac{\frac{b^4-a^4}{a(a+b)}-\frac{b^3}{a}}{b^2-a b+a^2}$.Answer-1View full question & answer→
Question 552 MarksAn expression was factorised as $(x-1)(x-3)(x-5) \ldots(x-99)$. What is the coefficient of $x^{49}$ in the expression?Answer-2500View full question & answer→
Question 562 MarksFactorise:$\begin{array}{l}5-\left(3 x^2-2 x\right)\left(6-3 x^2+2 x\right) \\ \left.\text { [Hint. Put } 3 x^2-2 x=y\right]\end{array}$Answer(1 + 3x) (1 - x) (1 + x) (5 - 3x)View full question & answer→
Question 572 MarksFactorise:$a^4-11 a^2+10$Answer$\left(a^2-10\right)(a+1)(a-1)$View full question & answer→
Question 582 MarksFactorise:$\left(a^2-a\right)\left(4 a^2-4 a-5\right)-6$Answer$(a-2)(a+1)\left(4 a^2-4 a+3\right)$View full question & answer→
Question 592 MarksFactorise:$\left(a^2-3 a\right)\left(a^2-3 a+7\right)+10$Answer$\left(a^2-3 a+5\right)(a-2)(a-1)$View full question & answer→
Question 602 MarksFactorise:$4(2 a-3)^2-3(2 a-3)(a-1)-7(a-1)^2 \quad$ [Hint. Put $(2 a-3)=x$ and $(a-1)=y$.]Answer(a - 5) (3a - 4)View full question & answer→
Question 612 MarksFactorise:$8(a-2 b)^2-2 a+4 b-1$Answer(2a - 4b - 1) (4a - 8b + 1)View full question & answer→
Question 622 MarksFactorise:$(a+4)^2-5 a b-20 b-6 b^2$Answer(a + 4 - 6b) (a + 4 + b)View full question & answer→
Question 632 MarksFactorise:$1-2(a+2 b)-3(a+2 b)^2$Answer(1 - 3a - 6b) (1 + a + 2b)View full question & answer→
Question 642 MarksFactorise:$3(2 a-b)^2-19(2 a-b)+28$Answer(2a - b - 4) (6a - 3b - 7)View full question & answer→
Question 652 MarksFactorise:$5(3 a+b)^2+6(3 a+b)-8$Answer(3a + b + 2) (15a - 5b - 4)View full question & answer→
Question 662 MarksFactorise:$5 x^2+17 x y-12 y^2$Answer(x + 4y) (5x - 3y)View full question & answer→
Question 872 MarksFactorise:$x^3-3 x^2+3 x+7$Answer$(x+1)\left(x^2-4 x+7\right)$View full question & answer→
Question 882 MarksFactorise:$(a+b)^3+(a-b)^3$$\begin{aligned} \text { [Hint. Given Exp. } & =x^3+y^3 \text {, where }(a+b)=x \text { 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]\end{aligned}$Answer$2 a\left(a^2+3 b^2\right)$View full question & answer→
Question 892 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 902 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 912 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 922 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 932 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 942 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 952 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 962 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 972 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 982 MarksFactorise:$a^3-0.064$Answer$(a-0.4)\left(a^2+0.4 a+0.16\right)$View full question & answer→
Question 992 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 1002 MarksFactorise:$a-8 a b^3$Answer$a(1-2 b)\left(1+2 b+4 b^2\right)$View full question & answer→