How do you write #x(x+2)^2# in standard form?

1 Answer
Jim G.
Oct 1, 2016

#x^3+4x^2+4x#

Explanation:

The first step here is to expand the bracket, before multiplying by x.

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

We must ensure that each term in the second bracket is multiplied by each term in the first bracket, as follows.

#color(red)(x)(x+2)color(red)(+2)(x+2)#

#=x^2+2x+2x+4=x^2+4x+4#

Now we have to multiply this result by x.

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

#=x^3+4x^2+4xlarr" in standard form"#

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