What is the standard form of #y= (x^2-4)(2x+9) -(x+5)^2#?

1 Answer
Ron S.
Jan 28, 2016

#2x^3 + 8x^2 -18x - 61#

Explanation:

Multiply both factors:
#2x^3 + 9x^2 - 8x - 36 - (x^2 + 10x + 25)#

Distribute the negative sign through the terms in the parenthesis:
#2x^3 + 9x^2 - 8x - 36 - x^2 -10x -25#

Consolidate like terms:
#2x^3 + (9x^2 - x^2) + (-8x - 10x) + (-36 - 25)#
#2x^3 + 8x^2 -18x - 61#

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