What is (22xy-15x^2-8y^2)/(2y-3x) ?

The solution to (22xy-15x^2-8y^2)/(2y-3x) is 5x-4y

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simplify (22xy-15x^2-8y^2)/(2y-3x)

simplify

\frac{22 x y - 15 x ^{2} - 8 y ^{2}}{2 y - 3 x}

5 x - 4 y

Solution steps

\frac{22 x y - 15 x ^{2} - 8 y ^{2}}{2 y - 3 x}

Factor

22 x y - 15 x^{2} - 8 y^{2} : (3 x - 2 y) (- 5 x + 4 y)

= \frac{( 3 x - 2 y ) ( - 5 x + 4 y )}{2 y - 3 x}

2 y - 3 x = - (3 x - 2 y)

= \frac{( 3 x - 2 y ) ( - 5 x + 4 y )}{- ( 3 x - 2 y )}

Cancel the common factor:

3 x - 2 y

= \frac{- 5 x + 4 y}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (- 5 x + 4 y)

Simplify

- (- 5 x + 4 y) : 5 x - 4 y

= 5 x - 4 y

w^{2} - 30 w - 7 = 0

\frac{3}{5} (r + 10) = 12

2 x^{3} \cdot 2 x^{2}

f (a) = \frac{8 a ^{3} - 10 a}{20 a ^{3} - 25 a}

2 (2 x^{2} - 3 x) \geq - 9

What is (22xy-15x^2-8y^2)/(2y-3x) ?
The solution to (22xy-15x^2-8y^2)/(2y-3x) is 5x-4y