What is expand (\H(t-1)-\H(t-4))(t-2) ?

The solution to expand (\H(t-1)-\H(t-4))(t-2) is t\H(t-1)-2\H(t-1)-t\H(t-4)+2\H(t-4)

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expand (\H(t-1)-\H(t-4))(t-2)

expand

(H (t - 1) - H (t - 4)) (t - 2)

t H (t - 1) - 2 H (t - 1) - t H (t - 4) + 2 H (t - 4)

Solution steps

(H (t - 1) - H (t - 4)) (t - 2)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = H (t - 1), b = - H (t - 4), c = t, d = - 2

= H (t - 1) t + H (t - 1) (- 2) + (- H (t - 4)) t + (- H (t - 4)) (- 2)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= t H (t - 1) - 2 H (t - 1) - t H (t - 4) + 2 H (t - 4)

\frac{2}{5} x - 1

\frac{1 + s ^{2} + s ^{3}}{s ^{2} ( s + 1 ) ( s - 2 )}

\frac{( x + 4 ) ( x + 6 )}{2}

\frac{d}{d t} ((x) (4 - 8 t^{2}))

A (2, - 3) y B (8, 1)

What is expand (\H(t-1)-\H(t-4))(t-2) ?
The solution to expand (\H(t-1)-\H(t-4))(t-2) is t\H(t-1)-2\H(t-1)-t\H(t-4)+2\H(t-4)