展开 sqrt(2x-1)(sqrt(4x+5)+sqrt(x-1))

解答

展开

2 x - 1 (4 x + 5 + x - 1)

8 x^{2} + 6 x - 5 + 2 x^{2} - 3 x + 1

求解步骤

2 x - 1 (4 x + 5 + x - 1)

= (4 x + 5 + x - 1) 2 x - 1

使用分配律:

a (b + c) = ab + a c

a = 2 x - 1, b = 4 x + 5, c = x - 1

= 2 x - 1 4 x + 5 + 2 x - 1 x - 1

化简

2 x - 1 4 x + 5 + 2 x - 1 x - 1 : 8 x^{2} + 6 x - 5 + 2 x^{2} - 3 x + 1

= 8 x^{2} + 6 x - 5 + 2 x^{2} - 3 x + 1

e x p an d \frac{p ( 60 - p )}{2}

\frac{d}{d u} ((x (u, t)) (t^{2} + 5 t))

e x p an d (ln (x) - 1)^{3}

\frac{d ^{2}}{d x ^{2}} ((y) (6 x - 3))

e x p an d \frac{7 s - 16}{( s - 2 ) ^{2} + 16}