Evans Medina
06/07/2023 · Middle School

\( x^{2}+x-72 \) Replace the values of \( a \) and \( b \) to rewrite the given expression.

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Step-by-step Solution

To rewrite the expression \( x^2 + x - 72 \) in a different form, we can factor it. We are looking for two numbers that multiply to \(-72\) (the constant term) and add to \(1\) (the coefficient of \(x\)). The two numbers that satisfy these conditions are \(9\) and \(-8\) because: - \(9 \times (-8) = -72\) - \(9 + (-8) = 1\) Thus, we can factor the expression as follows: \[ x^2 + x - 72 = (x + 9)(x - 8) \] So, the rewritten expression is: \[ (x + 9)(x - 8) \]

Quick Answer

Rewrite \( x^2 + x - 72 \) as \( (x + 9)(x - 8) \).
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