What is ((2x-10)(2x+10))/(x^2-25) ?

The solution to ((2x-10)(2x+10))/(x^2-25) is 4

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simplify ((2x-10)(2x+10))/(x^2-25)

simplify

\frac{( 2 x - 10 ) ( 2 x + 10 )}{x ^{2} - 25}

4

Solution steps

\frac{( 2 x - 10 ) ( 2 x + 10 )}{x ^{2} - 25}

Factor

2 x - 10 : 2 (x - 5)

= \frac{2 ( x - 5 ) ( 2 x + 10 )}{x ^{2} - 25}

Factor

x^{2} - 25 : (x + 5) (x - 5)

= \frac{2 ( x - 5 ) ( 2 x + 10 )}{( x + 5 ) ( x - 5 )}

Cancel the common factor:

x - 5

= \frac{2 ( 2 x + 10 )}{x + 5}

Factor

2 x + 10 : 2 (x + 5)

= \frac{2 \cdot 2 ( x + 5 )}{x + 5}

Cancel the common factor:

x + 5

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

- 3 x - 5 x

\frac{30}{5}

\frac{57}{76}

(\frac{4 m ^{5} n ^{2}}{m ^{2} n})^{3}

(x - y) \cdot (x - y)

What is ((2x-10)(2x+10))/(x^2-25) ?
The solution to ((2x-10)(2x+10))/(x^2-25) is 4