化简 3x^2y^2z(7x^2+2y+z+4w)

解答

化简

3 x^{2} y^{2} z (7 x^{2} + 2 y + z + 4 w)

3 x^{2} y^{2} z (7 x^{2} + 2 y + z + 4 w)

求解步骤

3 x^{2} y^{2} z (7 x^{2} + 2 y + z + 4 w)

使用指数法则:

a^{m} b^{m} = (ab)^{m},

假定

a \geq 0, b \geq 0

x^{2} y^{2} = (x y)^{2}

= 3 z (x y)^{2} (7 x^{2} + 2 y + z + 4 w)

(x y)^{2} = x^{2} y^{2}

= 3 x^{2} y^{2} z (7 x^{2} + 2 y + z + 4 w)

s im pl i f y 7708.3333 (1 + 0.9 \cdot \frac{100}{360})^{- 1}

s im pl i f y \frac{5}{x} \cdot 5 x

s im pl i f y 2 x^{2} (3 x^{4} y^{3})

s im pl i f y 7 \cdot 1 0^{- 3} \cdot \frac{0.19997}{1 0 ^{- 6}}

e x p an d (2 x y)^{2}