化简 9x^2y^2(-16x^2y^3)

解答

化简

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

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

求解步骤

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

使用法则:

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}

数字相乘:

- 9 \cdot 16 = - 144

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

化简

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

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

化简

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

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

s im pl i f y \frac{sin ^{2} ( x )}{cos ( x ) - 1 + cos ( x )}

f a c t or 25 x^{4} - y^{6}

f a c t or 2 cos^{2} (x) - cos (x)

s im pl i f y \frac{( n + 1 ) ! ( n + 2 )}{( n - 1 ) !}

s im pl i f y p^{\frac{2}{5}} \cdot p^{- 2}