展开 pi(x)^2(3x+1)

解答

展开

π (x)^{2} (3 x + 1)

3 π x^{3} + π x^{2}

求解步骤

π (x)^{2} (3 x + 1)

使用分配律:

a (b + c) = ab + a c

a = π (x)^{2}, b = 3 x, c = 1

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

= 3 π (x)^{2} x + 1 π (x)^{2}

化简

3 π (x)^{2} x + 1 π (x)^{2} : 3 π x^{3} + π x^{2}

= 3 π x^{3} + π x^{2}

e x p an d x \cdot x^{2}

e x p an d (z - e^{i \frac{π}{4}}) (z - e^{- i \frac{π}{4}})

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

e x p an d 5.5 (2.5 t - 6.25 + 6.25 e^{- 0.4 t})

e x p an d \frac{( 2 x + 3 ) ( 3 x + 4 )}{6}