What is (5w^2-4)(5w^2-3/2) ?

The solution to (5w^2-4)(5w^2-3/2) is ((5w^2-4)(10w^2-3))/2

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simplify (5w^2-4)(5w^2-3/2)

simplify

(5 w^{2} - 4) (5 w^{2} - \frac{3}{2})

\frac{( 5 w ^{2} - 4 ) ( 10 w ^{2} - 3 )}{2}

Solution steps

(5 w^{2} - 4) (5 w^{2} - \frac{3}{2})

Join

5 w^{2} - \frac{3}{2} : \frac{10 w ^{2} - 3}{2}

= (5 w^{2} - 4) \frac{10 w ^{2} - 3}{2}

Apply the fraction rule:

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

= \frac{( 5 w ^{2} - 4 ) ( 10 w ^{2} - 3 )}{2}

50 (arctan (x) + x) + C

\frac{d ^{3}}{d x ^{3}} ((y) (5 x - 8)^{3})

(A x + B) e^{2 x}

(x^{2} - 1) x - 6

3 (3 A e^{x} x^{2} + 6 A e^{x} x + 4 A e^{x^{4}} x^{3})

What is (5w^2-4)(5w^2-3/2) ?
The solution to (5w^2-4)(5w^2-3/2) is ((5w^2-4)(10w^2-3))/2