karliplato568 karliplato568

26-05-2021
Mathematics

contestada

The area of a rectangle is n^2+6n-27. One side of the rectangle is n + 9. What is the length of the
remaining side?

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tataplayer10 tataplayer10

26-05-2021

[tex]n^2 +6n-27 = n^2+6n-27+0\\~\\n^2+6n-27+0 = n^2+6n-27+(3n-3n) \\~\\n^2+6n-27+(3n-3n) = n^2+9n-3n-27\\~\\n^2+9n-3n-27 = n\cdot(n+9)-3\cdot(n+9) \\~\\n\cdot(n+9)-3\cdot(n+9) = (n+9)(n-3)[/tex]

The other side is n-3

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