Math  /  Algebra

Question15] 9x236x459 x^{2}-36 x-45

Studdy Solution
Verify the factorization by expanding:
Expand 9(x5)(x+1) 9(x - 5)(x + 1) :
9((x5)(x+1))=9(x2+x5x5)=9(x24x5) 9((x - 5)(x + 1)) = 9(x^2 + x - 5x - 5) = 9(x^2 - 4x - 5)
This matches the original expression 9x236x45 9x^2 - 36x - 45 .
The factored form of the expression is 9(x5)(x+1) \boxed{9(x - 5)(x + 1)} .

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