What is (x^2-36)/(4x^2-16x-48) ?

The solution to (x^2-36)/(4x^2-16x-48) is (x+6)/(4(x+2))

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simplify (x^2-36)/(4x^2-16x-48)

simplify

\frac{x ^{2} - 36}{4 x ^{2} - 16 x - 48}

\frac{x + 6}{4 ( x + 2 )}

Solution steps

\frac{x ^{2} - 36}{4 x ^{2} - 16 x - 48}

Factor

x^{2} - 36 : (x + 6) (x - 6)

= \frac{( x + 6 ) ( x - 6 )}{4 x ^{2} - 16 x - 48}

Factor

4 x^{2} - 16 x - 48 : 4 (x + 2) (x - 6)

= \frac{( x + 6 ) ( x - 6 )}{4 ( x + 2 ) ( x - 6 )}

Cancel the common factor:

x - 6

= \frac{x + 6}{4 ( x + 2 )}

- 4^{2}

\frac{1}{2} x - 4

lo g_{\frac{1}{3}} (5)

(2 x + 7)^{3}

(- 7 p^{4}) (- 5 p^{3})

What is (x^2-36)/(4x^2-16x-48) ?
The solution to (x^2-36)/(4x^2-16x-48) is (x+6)/(4(x+2))