What is (x+3y)/(x^2+2xy-3y^2) ?

The solution to (x+3y)/(x^2+2xy-3y^2) is 1/(x-y)

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simplify (x+3y)/(x^2+2xy-3y^2)

simplify

\frac{x + 3 y}{x ^{2} + 2 x y - 3 y ^{2}}

\frac{1}{x - y}

Solution steps

\frac{x + 3 y}{x ^{2} + 2 x y - 3 y ^{2}}

Factor

x^{2} + 2 x y - 3 y^{2} : (x - y) (x + 3 y)

= \frac{x + 3 y}{( x - y ) ( x + 3 y )}

Cancel the common factor:

x + 3 y

= \frac{1}{x - y}

22 \times 4512300000

\frac{2 + 2 3}{2}

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

(8 x - 5)^{2}

(2 y^{2} + 7 y + 11) - (8 y^{2} - 5 y + 7)

What is (x+3y)/(x^2+2xy-3y^2) ?
The solution to (x+3y)/(x^2+2xy-3y^2) is 1/(x-y)