find the cube of the following binomial ;(i) (x+3y)3
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Answer:
(x^3+27y^3+9yx^2+27xy^2)
Step-by-step explanation:
=(x+3y)^3
=(x+3y)^2*(x+3y)^1
=(x^2+6xy+9y^2)*(x+3y)
=x*(x^2+6xy+9y^2)+3y*(x^2+6xy+9y^2)
=(x^3+6x^2y+9xy^2)+(3yx^2+18xy^2+27y^3)
=(x^3+6yx^2+3yx^2+9xy^2+18xy^2+27y^3)
=(x^3+27y^3+9yx^2+27xy^2)
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