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

1 Answer
Apr 20, 2018

#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#