What is (a^2-b^2)/(2ab)*(a^2)/(a-b) ?

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

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simplify (a^2-b^2)/(2ab)*(a^2)/(a-b)

simplify

\frac{a ^{2} - b ^{2}}{2 ab} \cdot \frac{a ^{2}}{a - b}

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

Solution steps

\frac{a ^{2} - b ^{2}}{2 ab} \cdot \frac{a ^{2}}{a - b}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

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

Apply exponent rule:

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

a^{2} = aa

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

Cancel the common factor:

a

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

Apply Difference of Two Squares Formula:

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

a^{2} - b^{2} = (a + b) (a - b)

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

Cancel the common factor:

a - b

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

- 81 + - 128 + 4 - - 162

\frac{25}{5}

(x^{2} + y^{2})^{4}

(x + 1) (x + 3)

\frac{169}{25}

What is (a^2-b^2)/(2ab)*(a^2)/(a-b) ?
The solution to (a^2-b^2)/(2ab)*(a^2)/(a-b) is ((a+b)a)/(2b)