The standard form of #y = (6x +12)^3 ­- (13x-2)^2#?

1 Answer
Roella W.
Feb 2, 2016

#y=216x^3+1127x^2 +1780x +860#

Explanation:

To express a polynomial in standard form you need to multiply it out to get rid of the brackets, simplify the result and then order the terms in descending order of powers.

#y = (6x+12)^3 - (13x - 2)^2#

#y = (6x+12)(36x^2 +144x +144) - (169x^2 - 52x +4)#

#y = 216x^3 +864x^2 +864 +432x^2 + 1728x +1728 -169x^2+52x-4#

#y=216x^3+1127x^2 +1780x +860#

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