簡約-3(4x^3)(3xy^2)

解

簡約

- 3 (4 x^{3}) (3 x y^{2})

- 36 x^{4} y^{2}

解答ステップ

- 3 (4 x^{3}) (3 x y^{2})

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

3 \cdot 3 = 3^{1 + 1}

= - 4 x^{3} \cdot 3^{1 + 1} x y^{2}

数を足す:

1 + 1 = 2

= - 4 x^{3} \cdot 3^{2} x y^{2}

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

x^{3} x = x^{3 + 1}

= - 4 \cdot 3^{2} x^{3 + 1} y^{2}

数を足す:

3 + 1 = 4

= - 4 \cdot 3^{2} x^{4} y^{2}

3^{2} = 9

= - 4 \cdot 9 x^{4} y^{2}

数を乗じる:

4 \cdot 9 = 36

= - 36 x^{4} y^{2}