What is ((m^4)/4-n^6)((m^4)/4+n^6) ?

The solution to ((m^4)/4-n^6)((m^4)/4+n^6) is ((-4n^6+m^4)(4n^6+m^4))/(16)

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simplify ((m^4)/4-n^6)((m^4)/4+n^6)

simplify

(\frac{m ^{4}}{4} - n^{6}) (\frac{m ^{4}}{4} + n^{6})

\frac{( - 4 n ^{6} + m ^{4} ) ( 4 n ^{6} + m ^{4} )}{16}

Solution steps

(\frac{m ^{4}}{4} - n^{6}) (\frac{m ^{4}}{4} + n^{6})

Simplify

\frac{m ^{4}}{4} - n^{6} : \frac{- 4 n ^{6} + m ^{4}}{4}

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

Apply the fraction rule:

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

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

Simplify

(- 4 n^{6} + m^{4}) (\frac{m ^{4}}{4} + n^{6}) : \frac{( - 4 n ^{6} + m ^{4} ) ( n ^{6} \cdot 4 + m ^{4} )}{4}

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

Apply the fraction rule:

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

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

Multiply the numbers:

4 \cdot 4 = 16

= \frac{( - 4 n ^{6} + m ^{4} ) ( n ^{6} \cdot 4 + m ^{4} )}{16}

= \frac{( - 4 n ^{6} + m ^{4} ) ( 4 n ^{6} + m ^{4} )}{16}

x (a x - x)^{2} d x

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

(x - 13 - x)^{2}

(5 x^{2} - y^{3}) d e (- 3 y^{3} + 8 x^{2})

(x + 6 y = 1, 1) (5 x - 15 y = 10)

What is ((m^4)/4-n^6)((m^4)/4+n^6) ?
The solution to ((m^4)/4-n^6)((m^4)/4+n^6) is ((-4n^6+m^4)(4n^6+m^4))/(16)