What is (x-3/5)(x+3/4) ?

The solution to (x-3/5)(x+3/4) is ((5x-3)(4x+3))/(20)

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simplify (x-3/5)(x+3/4)

simplify

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

\frac{( 5 x - 3 ) ( 4 x + 3 )}{20}

Solution steps

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

Simplify

x - \frac{3}{5} : \frac{5 x - 3}{5}

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

Apply the fraction rule:

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

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

Simplify

(5 x - 3) (x + \frac{3}{4}) : \frac{( 5 x - 3 ) ( x \cdot 4 + 3 )}{4}

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

Apply the fraction rule:

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

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

Multiply the numbers:

4 \cdot 5 = 20

= \frac{( 5 x - 3 ) ( x \cdot 4 + 3 )}{20}

= \frac{( 5 x - 3 ) ( 4 x + 3 )}{20}

\frac{1}{2} (x - 11) (6 + 2 x - 16)

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

\frac{( 3 x ^{2} + 4 )}{( x ^{2} + 1 ) ^{2}}

411 (23 + 62)

(sin (x) + 3)^{2}