展开 (x+1)(x+1)!

解答

展开

(x + 1) (x + 1)!

x (x + 1)! + (x + 1)!

求解步骤

(x + 1) (x + 1)!

= (x + 1)! (x + 1)

使用分配律:

a (b + c) = ab + a c

a = (x + 1)!, b = x, c = 1

= (x + 1)! x + (x + 1)! \cdot 1

= x (x + 1)! + 1 \cdot (x + 1)!

乘以:

1 \cdot (x + 1)! = (x + 1)!

= x (x + 1)! + (x + 1)!

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

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

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

e x p an d \frac{16 x y + 2 - x ^{2} y ^{2} - 28}{16 ( x ^{2} y ^{2} - 4 )}

e x p an d Q (12, - 13)