展开 4pi(x+1)^3

解答

展开

4 π (x + 1)^{3}

4 π x^{3} + 12 π x^{2} + 12 π x + 4 π

求解步骤

4 π (x + 1)^{3}

(x + 1)^{3} = x^{3} + 3 x^{2} + 3 x + 1

= 4 π (x^{3} + 3 x^{2} + 3 x + 1)

打开括号

= 4 π x^{3} + 4 π 3 x^{2} + 4 π 3 x + 4 π 1

= 4 π x^{3} + 4 \cdot 3 π x^{2} + 4 \cdot 3 π x + 4 \cdot 1 π

化简

4 π x^{3} + 4 \cdot 3 π x^{2} + 4 \cdot 3 π x + 4 \cdot 1 π : 4 π x^{3} + 12 π x^{2} + 12 π x + 4 π

= 4 π x^{3} + 12 π x^{2} + 12 π x + 4 π

e x p an d co v (1 + 2 X + 3 v, Y)

e x p an d 10 (1 - 3 t) e - 3 t

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

e x p an d (cos (x))^{5}

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