展开 (x+3)^2\delta(x-5)

解答

展开

(x + 3)^{2} δ (x - 5)

x^{2} δ (x - 5) + 6 x δ (x - 5) + 9 δ (x - 5)

求解步骤

(x + 3)^{2} δ (x - 5)

(x + 3)^{2} = x^{2} + 6 x + 9

= δ (x - 5) (x^{2} + 6 x + 9)

= δ (x - 5) (x^{2} + 6 x + 9)

打开括号

= δ (x - 5) x^{2} + δ (x - 5) \cdot 6 x + δ (x - 5) \cdot 9

= x^{2} δ (x - 5) + 6 x δ (x - 5) + 9 δ (x - 5)

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

e x p an d \frac{cos ( θ ) ( 1 + sin ( θ ) )}{1 + sin ^{2} ( θ )}

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

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

s im pl i f y \frac{z x ^{2} - z ^{2}}{4} + \frac{z ( P - z - 2 x )}{2}