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

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

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

simplify

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

2 a - b

Solution steps

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

Factor

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

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

Cancel the common factor:

a + b

= 2 a - b

\frac{x ^{4} - 9 x ^{2} + 3 + x}{x + 3}

(- 5 + 12 i)^{2}

2 \cdot 12

\frac{4 x}{4 x}

(csc^{2} (x) - 1) sin^{2} (x)