What is factor (a^2)/4-b^2 ?

The solution to factor (a^2)/4-b^2 is (a/2+b)(a/2-b)

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

factor

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

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

Solution steps

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

Rewrite

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

(\frac{1}{4} a)^{2} - b^{2}

= (\frac{1}{4} a)^{2} - b^{2}

Apply Difference of Two Squares Formula:

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

(\frac{1}{4} a)^{2} - b^{2} = (\frac{1}{4} a + b) (\frac{1}{4} a - b)

= (\frac{1}{4} a + b) (\frac{1}{4} a - b)

Refine

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

3 x - 9 y - x z + 3 yz

(3 a)^{2} + 10 ab + (7 b)^{2}

sin^{2} (x) - 3 sin (x) - 40

(2 x - 5)^{3} - 1

(\frac{x}{4})^{2} - 255

What is factor (a^2)/4-b^2 ?
The solution to factor (a^2)/4-b^2 is (a/2+b)(a/2-b)