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Factor y=5x^2-30x-135

1 Answer

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Answer:


\boxed{\sf y =5(x-9)(x+3)}

Explanation:


\sf \textsf{Factor of y }=5x^2-30x-135.

Solution:


\sf y =5x^2-30x-135.

Takin common 5


\sf y=5(x^2-6x-27) \: ....... [i]

Doing middle term factorization


\sf (x^2-6x-27)


\sf x^2 -(9-3)x -27


\sf x^2 - 9x + 3x -27

Taking common from each two terms


\sf x(x-9) +3(x-9)

taking common again and keeping remaining in another bracket


\sf (x-9)(x+3)

Substituting this in equation [i].


\sf y=5(x-9)(x+3)


\sf \textsf{Therefore, Factor of y }=5(x-9)(x+3)

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