Question

if (1-x)(1+x+x^2)= then the answer is ????

Answer 1

Answer:

$\mathrm{Expand\:\left(1-x\right)\left(1+x+x^2\right):\quad -x^3+1}$

Step-by-step explanation:

$\mathrm{\left(1-x\right)\left(1+x+x^2\right)}$

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

$\mathrm{\left(1-x\right)\left(1+x+x^2\right)=1\cdot \:1+1\cdot \:x+1\cdot \:x^2-x\cdot \:1-xx-xx^2}$

$\mathrm{=1\cdot \:1+1\cdot \:x+1\cdot \:x^2-x\cdot \:1-xx-xx^2}$

$\mathrm{=-x^3+1}$