What is (xy+5/8)(3/4-xy) ?

The solution to (xy+5/8)(3/4-xy) is ((8xy+5)(-4xy+3))/(32)

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simplify (xy+5/8)(3/4-xy)

simplify

(x y + \frac{5}{8}) (\frac{3}{4} - x y)

\frac{( 8 x y + 5 ) ( - 4 x y + 3 )}{32}

Solution steps

(x y + \frac{5}{8}) (\frac{3}{4} - x y)

Simplify

x y + \frac{5}{8} : \frac{8 x y + 5}{8}

= \frac{8 x y + 5}{8} (\frac{3}{4} - x y)

Apply the fraction rule:

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

= \frac{( 8 x y + 5 ) ( \frac{3}{4} - x y )}{8}

Simplify

(8 x y + 5) (\frac{3}{4} - x y) : \frac{( 8 x y + 5 ) ( - x y \cdot 4 + 3 )}{4}

= \frac{\frac{( 8 x y + 5 ) ( - x y \cdot 4 + 3 )}{4}}{8}

Apply the fraction rule:

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

= \frac{( 8 x y + 5 ) ( - x y \cdot 4 + 3 )}{4 \cdot 8}

Multiply the numbers:

4 \cdot 8 = 32

= \frac{( 8 x y + 5 ) ( - x y \cdot 4 + 3 )}{32}

= \frac{( 8 x y + 5 ) ( - 4 x y + 3 )}{32}

\frac{( x - 3 ) ^{2}}{3}

12 (x - \frac{5}{2})^{2} + 70

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

(e^{4 x}) (x^{2} \frac{d y}{d x} + 2 x y)

\frac{1}{( A \cdot x ^{2} + 1 ) \cdot x ^{2}}

What is (xy+5/8)(3/4-xy) ?
The solution to (xy+5/8)(3/4-xy) is ((8xy+5)(-4xy+3))/(32)