What is the standard form of y=(x + 7)(x + 3) (x + 1)y=(x+7)(x+3)(x+1)?

1 Answer
Dec 14, 2015

y= x^3 +11x^2 +31x+21y=x3+11x2+31x+21

Explanation:

Expand or multiply the function and combine like terms

Given y= (x+7)(x+3)(x+1)y=(x+7)(x+3)(x+1)

=>y= (x^2 + 3x+7x+21)(x+1)y=(x2+3x+7x+21)(x+1)

=>y= (x^2 + 10x+21)(x+1)y=(x2+10x+21)(x+1)

=>y= (x^3 +x^2+10x^2+10x+21x+21)y=(x3+x2+10x2+10x+21x+21)

=>y= x^3 +11x^2 +31x+21y=x3+11x2+31x+21