What is expand (x-2)^2*\delta(x-2) ?

The solution to expand (x-2)^2*\delta(x-2) is x^2\delta(x-2)-4x\delta(x-2)+4\delta(x-2)

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expand (x-2)^2*\delta(x-2)

expand

(x - 2)^{2} \cdot δ (x - 2)

x^{2} δ (x - 2) - 4 x δ (x - 2) + 4 δ (x - 2)

Solution steps

(x - 2)^{2} δ (x - 2)

(x - 2)^{2} = x^{2} - 4 x + 4

= δ (x - 2) (x^{2} - 4 x + 4)

= δ (x - 2) (x^{2} - 4 x + 4)

Distribute parentheses

= δ (x - 2) x^{2} + δ (x - 2) (- 4 x) + δ (x - 2) \cdot 4

Apply minus-plus rules

+ (- a) = - a

= x^{2} δ (x - 2) - 4 x δ (x - 2) + 4 δ (x - 2)

(- 50) e^{(- 50)}

- (x + 6)^{2} (x - 2)^{2}

(1 - x^{a})^{2} (1 + x^{a})^{2}

93636 \cdot 6.38 \cdot 1 0^{- 5}

5 t^{2} (5 t^{6})

What is expand (x-2)^2*\delta(x-2) ?
The solution to expand (x-2)^2*\delta(x-2) is x^2\delta(x-2)-4x\delta(x-2)+4\delta(x-2)