What is expand (xyz(4xy+5z)(4xy-5z))/(12) ?

The solution to expand (xyz(4xy+5z)(4xy-5z))/(12) is (4x^3y^3z)/3-(25xyz^3)/(12)

Popular >

expand (xyz(4xy+5z)(4xy-5z))/(12)

expand

\frac{x yz ( 4 x y + 5 z ) ( 4 x y - 5 z )}{12}

\frac{4 x ^{3} y ^{3} z}{3} - \frac{25 x y z ^{3}}{12}

Solution steps

\frac{x yz ( 4 x y + 5 z ) ( 4 x y - 5 z )}{12}

Expand

x yz (4 x y + 5 z) (4 x y - 5 z) : 16 x^{3} y^{3} z - 25 x y z^{3}

= \frac{16 x ^{3} y ^{3} z - 25 x y z ^{3}}{12}

Apply the fraction rule:

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

\frac{16 x ^{3} y ^{3} z - 25 x y z ^{3}}{12} = \frac{16 x ^{3} y ^{3} z}{12} - \frac{25 x y z ^{3}}{12}

= \frac{16 x ^{3} y ^{3} z}{12} - \frac{25 x y z ^{3}}{12}

Cancel

\frac{16 x ^{3} y ^{3} z}{12} : \frac{4 x ^{3} y ^{3} z}{3}

= \frac{4 x ^{3} y ^{3} z}{3} - \frac{25 x y z ^{3}}{12}

37 sin (\frac{2 π}{365} (x - 101)) + 25

π (\frac{16 2}{5} + \frac{16}{3})

\frac{2 x + 3}{( x - 11 ) ( x + 4 )}

(1 - u^{2} + v^{2})^{2} + 4 u^{2} v^{2} + 4 u^{2}

\frac{191700 ( e + 1 ) ( e - 1 )}{e ^{4}}

What is expand (xyz(4xy+5z)(4xy-5z))/(12) ?
The solution to expand (xyz(4xy+5z)(4xy-5z))/(12) is (4x^3y^3z)/3-(25xyz^3)/(12)