What is (10/3-(3m^4)/2)(10/3+(3m^4)/2) ?

The solution to (10/3-(3m^4)/2)(10/3+(3m^4)/2) is ((20-9m^4)(20+9m^4))/(36)

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simplify (10/3-(3m^4)/2)(10/3+(3m^4)/2)

simplify

(\frac{10}{3} - \frac{3 m ^{4}}{2}) (\frac{10}{3} + \frac{3 m ^{4}}{2})

\frac{( 20 - 9 m ^{4} ) ( 20 + 9 m ^{4} )}{36}

Solution steps

(\frac{10}{3} - \frac{3 m ^{4}}{2}) (\frac{10}{3} + \frac{3 m ^{4}}{2})

Join

\frac{10}{3} - \frac{3 m ^{4}}{2} : \frac{20 - 9 m ^{4}}{6}

= \frac{20 - 9 m ^{4}}{6} (\frac{10}{3} + \frac{3 m ^{4}}{2})

Apply the fraction rule:

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

= \frac{( 20 - 9 m ^{4} ) ( \frac{10}{3} + \frac{3 m ^{4}}{2} )}{6}

Simplify

(20 - 9 m^{4}) (\frac{10}{3} + \frac{3 m ^{4}}{2}) : \frac{( 20 - 9 m ^{4} ) ( 20 + 9 m ^{4} )}{6}

= \frac{\frac{( 20 - 9 m ^{4} ) ( 20 + 9 m ^{4} )}{6}}{6}

Apply the fraction rule:

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

= \frac{( 20 - 9 m ^{4} ) ( 20 + 9 m ^{4} )}{6 \cdot 6}

Multiply the numbers:

6 \cdot 6 = 36

= \frac{( 20 - 9 m ^{4} ) ( 20 + 9 m ^{4} )}{36}

\frac{2 x ^{2}}{( 1 - 3 x ^{2} ) ^{3}}

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(1 + i 2)^{6}

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What is (10/3-(3m^4)/2)(10/3+(3m^4)/2) ?
The solution to (10/3-(3m^4)/2)(10/3+(3m^4)/2) is ((20-9m^4)(20+9m^4))/(36)