What is expand (t-7)^2\H(t-7) ?

The solution to expand (t-7)^2\H(t-7) is t^2\H(t-7)-14t\H(t-7)+49\H(t-7)

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expand (t-7)^2\H(t-7)

expand

(t - 7)^{2} H (t - 7)

t^{2} H (t - 7) - 14 t H (t - 7) + 49 H (t - 7)

Solution steps

(t - 7)^{2} H (t - 7)

(t - 7)^{2} = t^{2} - 14 t + 49

= H (t - 7) (t^{2} - 14 t + 49)

= H (t - 7) (t^{2} - 14 t + 49)

Distribute parentheses

= H (t - 7) t^{2} + H (t - 7) (- 14 t) + H (t - 7) \cdot 49

Apply minus-plus rules

+ (- a) = - a

= t^{2} H (t - 7) - 14 t H (t - 7) + 49 H (t - 7)

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\frac{x}{( x ^{2} + 1 ) ( x ^{2} + x + 3 )}

e^{x} (e^{x} x - e^{x})

What is expand (t-7)^2\H(t-7) ?
The solution to expand (t-7)^2\H(t-7) is t^2\H(t-7)-14t\H(t-7)+49\H(t-7)