Question

(x+5)(√ 1-x)
what is the product of this composite function?

Answer 1

`x√(1-x)+5√(1-x)`

Explanation:

`(x+5)(√(1-x) )\\\\=\left(√(1-x)\right)\left(x+5\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\\\a=\left(√(1-x)\right),\:b=x,\:c=5\\\\=\left(√(1-x)\right)x+\left(√(1-x)\right)*\:5\\\\=x\left(√(1-x)\right)+5\left(√(1-x)\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\\\=x√(1-x)+5√(1-x)`