展开 (yx^{-3}=(x^4)/2+c)(2x^3)

解答

展开

(y x^{- 3} = \frac{x ^{4}}{2} + c) (2 x^{3})

2 y = \frac{x ^{4}}{2} + 2 c x^{3}

求解步骤

(y x^{- 3} = \frac{x ^{4}}{2} + c) (2 x^{3})

= (= y x^{- 3} \frac{x ^{4}}{2} + c) (2 x^{3})

使用分配律:

a (b + c) = ab + a c

a = (2 x^{3}), b = y x^{- 3} = \frac{x ^{4}}{2}, c = c

(2 x^{3}) y x^{- 3} = \frac{x ^{4}}{2} + (2 x^{3}) c

y x^{- 3} (2 x^{3}) = \frac{x ^{4}}{2} + c (2 x^{3})

化简

y x^{- 3} (2 x^{3}) = \frac{x ^{4}}{2} + c (2 x^{3}) : 2 y = \frac{x ^{4}}{2} + 2 c x^{3}

2 y = \frac{x ^{4}}{2} + 2 c x^{3}

e x p an d l im x \Rightarrow 2 (x^{2} + 3 x - 4)

e x p an d (x^{2} + x + 1)^{10}

e x p an d \frac{1}{( 3 x - 1 ) ^{4}}

e x p an d c u r l (2 x - 2 z x^{2}, 2 z - x y, 9 z^{2} x^{2})

s im pl i f y h (x) (x + 2) (1 - x)