What is (x/3-(2y)/5)(x/3+(2y)/5) ?

The solution to (x/3-(2y)/5)(x/3+(2y)/5) is ((5x-6y)(5x+6y))/(225)

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simplify (x/3-(2y)/5)(x/3+(2y)/5)

simplify

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

\frac{( 5 x - 6 y ) ( 5 x + 6 y )}{225}

Solution steps

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

Simplify

\frac{x}{3} - \frac{2 y}{5} : \frac{5 x - 6 y}{15}

= \frac{5 x - 6 y}{15} (\frac{x}{3} + \frac{2 y}{5})

Simplify

\frac{x}{3} + \frac{2 y}{5} : \frac{5 x + 6 y}{15}

= \frac{5 x - 6 y}{15} \cdot \frac{5 x + 6 y}{15}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( 5 x - 6 y ) ( 5 x + 6 y )}{15 \cdot 15}

Multiply the numbers:

15 \cdot 15 = 225

= \frac{( 5 x - 6 y ) ( 5 x + 6 y )}{225}

\frac{x ^{2} - x - 1}{( x + 5 ) ( x ^{2} + 4 )}

4 (e^{- x} x - 2 e^{- x})

(2 + 5) (- 2 + 5 k)

\frac{\frac{d}{d x} ( - 90 x )}{( x ^{2} - 9 ) ^{2}}

What is (x/3-(2y)/5)(x/3+(2y)/5) ?
The solution to (x/3-(2y)/5)(x/3+(2y)/5) is ((5x-6y)(5x+6y))/(225)