What is the standard form of # y= (-4x+3)^3-(x+12)^2#?

1 Answer
Kalyanam S.
May 29, 2018

#color(purple)(=>-64x^3 + 143x^2 - 132x - 117# is the standard form with polynomial degree 3 and number of terms 4.

Explanation:

#(a-b)^3 = a^3 - b^3 -3a^2b + 3ab^2# identity

#(-4x + 3)^3 -(x + 12)^2#

#=> (27 - 64x^3 - 108x + 144x^2 - x^2 - 24x - 144#

#=> -64x^3 + 144x^2 - x-^2 - 108x - 24x + 27 - 144#

#color(purple)(=>-64x^3 + 143x^2 - 132x - 117# is the standard form with polynomial degree 3 and number of terms 4.

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