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NeX [460]
3 years ago
14

HELP PLEASE. Simplify the expression. x^2+2x-24/x^2-x-42

Mathematics
2 answers:
Zina [86]3 years ago
8 0

Answer:

Step-by-step explanation:

x² + 2x - 24 = x² + 6x  - 4x - 4 * 6

                   = x(x + 6) - 4(x + 6)

                   = (x + 6) (x - 4)

x² - x - 42 = x² -7x + 6x - 6 * 7

                = x(x - 7) + 6(x - 7)

               =  (x - 7) (x + 6)

\frac{x^{2}+2x-24}{x^{2}-x-42}=\frac{(x + 6)*(x-4)}{(x+6)(x-7)}\\\\\\=\frac{x-4}{x-7}

Sophie [7]3 years ago
3 0

Answer:

\frac{x - 4}{x - 7}

Step-by-step explanation:

\frac{ {x}^{2} + 2x - 24 }{ {x}^{2} - x - 42 }  \\  \frac{(x + 6) (x - 4)}{(x - 7)(x + 6)} \:the \: term \: will \: be \: simplified (x + 6)  \\ and \: we \: will \: be \: left \: with \:  \frac{x - 4}{x - 7}

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