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

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Answer 1 · 2018-05-29T03:15:09

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

$(a-b)^3 = a^3 - b^3 -3a^2b + 3ab^2$ 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.

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