Question

Simplify : (4x2 + 7x - 1 ) ( x2 + 8x - 7) (x2 + 10)

Answer 1

Answer:

$\mathrm{Expand\:\left(4x^2+7x-1\right)\left(x^2+8x-7\right)\left(x^2+10\right):}$

$\mathrm{\quad 4x^6+39x^5+67x^4+333x^3+277x^2-570x+70}$

Step-by-step explanation:

$\mathrm{\left(4x^2+7x-1\right)\left(x^2+8x-7\right)\left(x^2+10\right)}$

$\mathrm{=\left(4x^4+39x^3+27x^2-57x+7\right)\left(x^2+10\right)}$

$\mathrm{Apply\:the\:distributive\:law}:\quad \left(a+b\right)\left(x+y+z\right)=ax+ay+az+bx+by+bz$

$=4x^4x^2+4x^4\cdot \:10+39x^3x^2+39x^3\cdot \:10+27x^2x^2+27x^2\cdot \:10-57xx^2-57x\cdot \:10+7x^2+7\cdot \:10$

$=4x^6+39x^5+67x^4+333x^3+277x^2-570x+70$