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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

= H (t - 1) \cdot 4 t + H (t - 1) \cdot 1

= 4 t H (t - 1) + 1 \cdot H (t - 1)

Multiply:

1 \cdot H (t - 1) = H (t - 1)

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

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