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Find the square (3h+3)²

User Georgeos
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1 Answer

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A binomial squared is solved with this formula:


(a+b)^2=a^(2)+2ab+b^(2)

In this exercise, a = 3h and b=3:


(3h+3)^2=(3h)^2+2\cdot3h\cdot3+3^(2)

We solve the square in the first and third term and multiply all the numbers in the second term


(3h+3)^2=3^2\cdot h^(2)+18h+81

And finally we have


(3h+3)^(2)=9h^(2)+18h+81

User Vchitta
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