What is (4x^2-4y^2)/(x^2-3xy-4y^2) ?

The solution to (4x^2-4y^2)/(x^2-3xy-4y^2) is (4(x-y))/(x-4y)

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simplify (4x^2-4y^2)/(x^2-3xy-4y^2)

simplify

\frac{4 x ^{2} - 4 y ^{2}}{x ^{2} - 3 x y - 4 y ^{2}}

\frac{4 ( x - y )}{x - 4 y}

Solution steps

\frac{4 x ^{2} - 4 y ^{2}}{x ^{2} - 3 x y - 4 y ^{2}}

Factor

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

= \frac{4 ( x + y ) ( x - y )}{x ^{2} - 3 x y - 4 y ^{2}}

Factor

x^{2} - 3 x y - 4 y^{2} : (x + y) (x - 4 y)

= \frac{4 ( x + y ) ( x - y )}{( x + y ) ( x - 4 y )}

Cancel the common factor:

x + y

= \frac{4 ( x - y )}{x - 4 y}

(\frac{2}{3 x + 3 y})^{3}

(x + 2 y)^{3} - 1

16 + 16 cot^{2} (x)

x 8 - 6 x^{4} y^{4} + y 8

2 \frac{x}{x} + 3 + 5 - \frac{x}{x} + 3

What is (4x^2-4y^2)/(x^2-3xy-4y^2) ?
The solution to (4x^2-4y^2)/(x^2-3xy-4y^2) is (4(x-y))/(x-4y)