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

The solution to (4x^2-16)/(4x-2) is (2(x+2)(x-2))/(2x-1)

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

simplify

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

\frac{2 ( x + 2 ) ( x - 2 )}{2 x - 1}

Solution steps

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

Factor

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

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

Factor

4 x - 2 : 2 (2 x - 1)

= \frac{4 ( x + 2 ) ( x - 2 )}{2 ( 2 x - 1 )}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2 ( x + 2 ) ( x - 2 )}{2 ( 2 x - 1 )}

Cancel the common factor:

2

= \frac{2 ( x + 2 ) ( x - 2 )}{2 x - 1}

(y - 3) (y + 3)

7 \div \frac{1}{6}

\frac{2 m ^{7}}{5 m ^{5}}

(x^{2} - 2 x + 2) (x^{2} + 2 x + 2)

What is (4x^2-16)/(4x-2) ?
The solution to (4x^2-16)/(4x-2) is (2(x+2)(x-2))/(2x-1)