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

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Answer 1 · 2018-01-21T10:54:54

#2x^3+13x^2+20x+16#

We need to expand a bunch:

#(x+2)^2 = x^2 + 4x+4#

#(x+4)^2=x^2 + 8x + 16#

Substituting these:

#3x(x^2 + 4x+4)-x^3+x^2 + 8x + 16#

distributing:

#3x^3 + 12x^2+12x-x^3+x^2 + 8x + 16#

collecting like terms:

#2x^3+13x^2+20x+16#