What is ((3a)/5+b/2)((3a)/5-b/2) ?

The solution to ((3a)/5+b/2)((3a)/5-b/2) is ((6a+5b)(6a-5b))/(100)

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simplify ((3a)/5+b/2)((3a)/5-b/2)

simplify

(\frac{3 a}{5} + \frac{b}{2}) (\frac{3 a}{5} - \frac{b}{2})

\frac{( 6 a + 5 b ) ( 6 a - 5 b )}{100}

Solution steps

(\frac{3 a}{5} + \frac{b}{2}) (\frac{3 a}{5} - \frac{b}{2})

Simplify

\frac{3 a}{5} + \frac{b}{2} : \frac{6 a + 5 b}{10}

= \frac{6 a + 5 b}{10} (\frac{3 a}{5} - \frac{b}{2})

Simplify

\frac{3 a}{5} - \frac{b}{2} : \frac{6 a - 5 b}{10}

= \frac{6 a + 5 b}{10} \cdot \frac{6 a - 5 b}{10}

Apply the fraction rule:

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

= \frac{( 6 a + 5 b ) ( 6 a - 5 b )}{10 \cdot 10}

Multiply the numbers:

10 \cdot 10 = 100

= \frac{( 6 a + 5 b ) ( 6 a - 5 b )}{100}

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What is ((3a)/5+b/2)((3a)/5-b/2) ?
The solution to ((3a)/5+b/2)((3a)/5-b/2) is ((6a+5b)(6a-5b))/(100)