What is (ab+9/2)(-9/2+ab) ?

The solution to (ab+9/2)(-9/2+ab) is ((2ab+9)(2ab-9))/4

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simplify (ab+9/2)(-9/2+ab)

simplify

(ab + \frac{9}{2}) (- \frac{9}{2} + ab)

\frac{( 2 ab + 9 ) ( 2 ab - 9 )}{4}

Solution steps

(ab + \frac{9}{2}) (- \frac{9}{2} + ab)

Simplify

ab + \frac{9}{2} : \frac{2 ab + 9}{2}

= \frac{2 ab + 9}{2} (- \frac{9}{2} + ab)

Apply the fraction rule:

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

= \frac{( 2 ab + 9 ) ( - \frac{9}{2} + ab )}{2}

Simplify

(2 ab + 9) (- \frac{9}{2} + ab) : \frac{( 2 ab + 9 ) ( ab \cdot 2 - 9 )}{2}

= \frac{\frac{( 2 ab + 9 ) ( ab \cdot 2 - 9 )}{2}}{2}

Apply the fraction rule:

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

= \frac{( 2 ab + 9 ) ( ab \cdot 2 - 9 )}{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{( 2 ab + 9 ) ( ab \cdot 2 - 9 )}{4}

= \frac{( 2 ab + 9 ) ( 2 ab - 9 )}{4}

tan^{2} (x) - sin^{2} (x) (cot^{2} (x) + tan (x))^{2}

\frac{2 x ( x + 1 ) ( x - 1 )}{x ^{4} + 6 x ^{2} + 1}

\frac{7}{( x - 1 ) ( x + 2 )}

(\frac{5}{x - 10} + 8 (100 - x)) (x - 10)

5 y^{3} d x - y^{2} (- 2 x + y^{2} x^{4}) d y

What is (ab+9/2)(-9/2+ab) ?
The solution to (ab+9/2)(-9/2+ab) is ((2ab+9)(2ab-9))/4