What is the standard form of $y= (2x-5)^3+(2x+3)^2$ ?

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What is the standard form of $y= (2x-5)^3+(2x+3)^2$ ?

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Answer 1 · 2018-04-20T02:58:08

$y=8x^3-56x^2+162x-116$

Explanation:

First, let's factor:
$y=(2x-5)^3+(2x+3)^2$
$y=(2x-5)(2x-5)(2x-5)+(2x+3)(2x+3)$
Now, lets simplify:
$y=(4x^2-20x+25)(2x-5)+(4x^2+12x+9)$
$y=(8x^3-40x^2+50x-20x^2+100x-125)+(4x^2+12x+9)$
$y=(8x^3-60x^2+150x-125)+(4x^2+12x+9)$
Finally, Lets add up like terms:
$y=8x^3-56x^2+162x-116$

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What is the standard form of $y= (2x-5)^3+(2x+3)^2$ ?

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What is the standard form of y= (2x-5)^3+(2x+3)^2 y= (2x-5)^3+(2x+3)^2?

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What is the standard form of $y= (2x-5)^3+(2x+3)^2$ ?