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

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

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

simplify

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

\frac{a}{a - b}

Solution steps

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

Factor

a^{2} + ab : a (a + b)

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

Apply Difference of Two Squares Formula:

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

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

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

Cancel the common factor:

a + b

= \frac{a}{a - b}

e^{l n (1 + x^{2})}

- 9 y^{5} + 15 y^{4} - 6 y^{3}

100 + 300

2 y - 10 y

(1 + 2 x)^{5}