What is 9x^2y^2(-16x^2y^3) ?

The solution to 9x^2y^2(-16x^2y^3) is -144x^4y^5

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simplify 9x^2y^2(-16x^2y^3)

simplify

9 x^{2} y^{2} (- 16 x^{2} y^{3})

- 144 x^{4} y^{5}

Solution steps

9 x^{2} y^{2} (- 16 x^{2} y^{3})

Apply rule:

a (- b) = - ab

9 x^{2} y^{2} (- 16 x^{2} y^{3}) = - 9 x^{2} y^{2} \cdot 16 x^{2} y^{3}

= - 9 x^{2} y^{2} \cdot 16 x^{2} y^{3}

Multiply the numbers:

- 9 \cdot 16 = - 144

= - 144 x^{2} y^{2} x^{2} y^{3}

Simplify

x^{2} x^{2} : x^{4}

= - 144 x^{4} y^{2} y^{3}

Simplify

y^{2} y^{3} : y^{5}

= - 144 x^{4} y^{5}

\frac{sin ^{2} ( x )}{cos ( x ) - 1 + cos ( x )}

25 x^{4} - y^{6}

x^{6} - 81 x^{4}

2 cos^{2} (x) - cos (x)

\frac{( n + 1 ) ! ( n + 2 )}{( n - 1 ) !}