KailynneD782150 KailynneD782150
  • 30-10-2022
  • Mathematics
contestada

find the square (3h+3)²

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RosabelleZ363757 RosabelleZ363757
  • 30-10-2022

A binomial squared is solved with this formula:

[tex](a+b)^2=a^{2}+2ab+b^{2}[/tex]

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

[tex](3h+3)^2=(3h)^2+2\cdot3h\cdot3+3^{2}[/tex]

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

[tex](3h+3)^2=3^2\cdot h^{2}+18h+81[/tex]

And finally we have

[tex](3h+3)^{2}=9h^{2}+18h+81[/tex]

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