The standard form of $y = (2x +3)^3 - (4x-2)^2$ ?

Question

The standard form of $y = (2x +3)^3 - (4x-2)^2$ ?

1 Answer

Impact of this question

1559 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-02T13:33:44

$:.color(blue)(y=8x^3+20x^2+70x+23$

Explanation:

$y=(2x+3)^3-(4x-2)^2$

First simplify $(2x+3)^3$

$color(white)(aaaaaaaaaaaaa)$ $2x+3$

$color(white)(aaaaaaaaaaa)$ $underline( xx 2x+3)$
$color(white)(aaaaaaaaaaaaa)$ $4x^2+6x$
$color(white)(aaaaaaaaaaaaaaaaaaa)$ $6x+9$
$color(white)(aaaaaaaaaaaaa)$ $overline(4x^2+12x+9)$
$color(white)(aaaaaaaaaaa)$ $xx 2x+3$
$color(white)(aaaaaaaaaaaaa)$ $overline(8x^3+24x^2+18x)$
$color(white)(aaaaaaaaaaaaaaaaaa)$ $12x^2+36x+27$
$color(white)(aaaaaaaaaaaaa)$ $overline(color(purple)(8x^3+36x^2+54x+27)$

Then simplify $color(green)((4x-2)^2$

$color(green)(=(4x-2)(4x-2))$

$:.color(green)((4x-2)^2=16x^2-16x+4$

$color(purple)((2x+3)^3=8x^3+36x^2+54x+27$

$:.y=8x^3+36x^2+54x+27-(16x^2-16x+4)$

$:.color(orange)(y=8x^3+36x^2+54x+27-16x^2+16x-4)$

$:.color(blue)(y=8x^3+20x^2+70x+23$

Science

Math

Humanities

... and beyond

The standard form of $y = (2x +3)^3 - (4x-2)^2$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

The standard form of y = (2x +3)^3 ­- (4x-2)^2y = (2x +3)^3 ­- (4x-2)^2?

1 Answer

Explanation:

Related questions

Impact of this question

The standard form of $y = (2x +3)^3 - (4x-2)^2$ ?