What is the standard form of $y = (x + 2) {(x + 1)}^{2}$ $y= (x + 2)(x + 1)^2$ ?

Question

1394 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-06T09:32:34

$y = x^{3} + 4 x^{2} + 5 x + 2$ $y=x^3+4x^2+5x+2$

From the given equation $y = (x + 2) {(x + 1)}^{2}$ $y=(x+2)(x+1)^2$

$y = (x + 2) {(x + 1)}^{2}$ $y=(x+2)(x+1)^2$

just multiply all the terms then simplify

$y = (x + 2) (x^{2} + 2 x + 1)$ $y=(x+2)(x^2+2x+1)$

$y = x^{3} + 2 x^{2} + x + 2 x^{2} + 4 x + 2$ $y=x^3+2x^2+x+2x^2+4x+2$

$y = x^{3} + 4 x^{2} + 5 x + 2$ $y=x^3+4x^2+5x+2$

God bless...I hope the explanation is useful.

What is the standard form of y=(x+2)(x+1)2 y= (x + 2)(x + 1)^2 ?