Simplify (4b^2-a^2)/(2b-a)

$\frac{4 b^{2} - a^{2}}{2 b - a}$

Simplify the numerator.

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Rewrite $4 b^{2}$ as ${(2 b)}^{2}$ .

$\frac{{(2 b)}^{2} - a^{2}}{2 b - a}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 2 b$ and $b = a$ .

$\frac{(2 b + a) (2 b - a)}{2 b - a}$

Cancel the common factor of $2 b - a$ .

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Cancel the common factor.

$\frac{(2 b + a) (2 b - a)}{2 b - a}$

Divide $2 b + a$ by $1$ .

$2 b + a$

Simplify (4b^2-a^2)/(2b-a)

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