Answer:
[tex]x^{3}[/tex] + 9[tex]x^{2}[/tex] + 27x + 27
Step-by-step explanation:
Given:
Cube of (x + 3) = [tex](x+3)^{3}[/tex] = (x +3)(x +3)(x +3)
Solution:
= (x +3)(x +3) Multiply first the two terms.
= [tex]x^{2}[/tex] + 3x + 3x + 9 Combine like terms.
= [tex]x^{2}[/tex] + 6x + 9
= [tex]x^{2}[/tex] + 6x + 9 (x +3) Multipy by the third factor.
= [tex]x^{3}[/tex] + 6[tex]x^{2}[/tex] + 9x + 3[tex]x^{2}[/tex] + 18x + 27 Combine like terms.
= [tex]x^{3}[/tex] + 9[tex]x^{2}[/tex] + 27x + 27
Hope this helps.
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