展开 t(x=x^1+t(x^2-x^1))

解答

展开

t (x = x^{1} + t (x^{2} - x^{1}))

t x = x + t^{2} x^{2} - t^{2} x

求解步骤

t (x = x^{1} + t (x^{2} - x^{1}))

= t (= x x^{1} + t (x^{2} - x^{1}))

使用分配律:

a (b + c) = ab + a c

a = t, b = x = x^{1}, c = t (x^{2} - x^{1})

t x = x^{1} + tt (x^{2} - x^{1})

乘开

x^{1} + tt (x^{2} - x^{1}) : x + t^{2} x^{2} - t^{2} x

t x = x + t^{2} x^{2} - t^{2} x

e x p an d \frac{( 3 x - 2 ) ( 3 x + 1 )}{3}

s im pl i f y (4 x^{- 1} \circ 3 x + 5) (x)

e x p an d \frac{( ( x + 1 ) ( x - 2 ) )}{x - 1}

e x p an d - \frac{5 m ( t + 10 s ) ^{2}}{s ^{2}}

e x p an d \frac{5 x}{( x + 3 ) ^{4}}