What is (2a^2)/(4a^2-4ab) ?

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

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simplify (2a^2)/(4a^2-4ab)

simplify

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

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

Solution steps

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

Factor

4 a^{2} - 4 ab : 4 a (a - b)

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

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

a^{2} = aa

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

Cancel the common factor:

a

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

\frac{3}{10} \cdot \frac{2}{9} \cdot \frac{1}{8}

1 - 2 (\frac{3}{8})^{2}

\frac{y + 1}{2} + \frac{y - 1}{2} = 3

x - 3 x - 1 + 3 > 0

2 x^{4} + 7 x^{3} - 15 x^{2}