How do you write #x(x+2)^2# in standard form?
1 Answer
Oct 1, 2016
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"#
