What is the standard form of y= (2x-9)(x-5)-(2x+7)^2?

1 Answer
Alan P.
Dec 10, 2015

y=-2x^2-47x-4

Explanation:

The general standard form for a quadratic is
color(white)("XXX")y=ax^2+bx+c
with constants a, b, c

Given
color(white)("XXX")y=color(red)((2x-9)(x-5))-color(blue)((2x+7)^2)

Expanding the terms:
color(white)("XXX")y=color(red)((2x^2-19x+45))-color(blue)((4x^2+28x+49))

Combine like terms:
color(white)("XXX")y=-2x^2-47x-4

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