What is ((8x)/5-(sqrt(y))/6)((8x)/5+(sqrt(y))/6) ?

The solution to ((8x)/5-(sqrt(y))/6)((8x)/5+(sqrt(y))/6) is (2304x^2-25y)/(900)

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simplify ((8x)/5-(sqrt(y))/6)((8x)/5+(sqrt(y))/6)

simplify

(\frac{8 x}{5} - \frac{y}{6}) (\frac{8 x}{5} + \frac{y}{6})

\frac{2304 x ^{2} - 25 y}{900}

Solution steps

(\frac{8 x}{5} - \frac{y}{6}) (\frac{8 x}{5} + \frac{y}{6})

Simplify

\frac{8 x}{5} - \frac{y}{6} : \frac{48 x - 5 y}{30}

= \frac{48 x - 5 y}{30} (\frac{8 x}{5} + \frac{y}{6})

Apply the fraction rule:

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

= \frac{( 48 x - 5 y ) ( \frac{8 x}{5} + \frac{y}{6} )}{30}

Simplify

(48 x - 5 y) (\frac{8 x}{5} + \frac{y}{6}) : \frac{2304 x ^{2} - 25 y}{30}

= \frac{\frac{2304 x ^{2} - 25 y}{30}}{30}

Apply the fraction rule:

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

= \frac{2304 x ^{2} - 25 y}{30 \cdot 30}

Multiply the numbers:

30 \cdot 30 = 900

= \frac{2304 x ^{2} - 25 y}{900}

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lo g_{5} (x)

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What is ((8x)/5-(sqrt(y))/6)((8x)/5+(sqrt(y))/6) ?
The solution to ((8x)/5-(sqrt(y))/6)((8x)/5+(sqrt(y))/6) is (2304x^2-25y)/(900)