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Popular >

expand (1+3t)t^2dt

Solution

expand

(1 + 3 t) t^{2} d t

Solution

t^{2} d t + 3 t^{3} d t

Solution steps

(1 + 3 t) t^{2} d t

= t^{2} (1 + 3 t) d t

Apply the distributive law:

a (b + c) = ab + a c

a = t^{2} d t, b = 1, c = 3 t

= t^{2} d t \cdot 1 + t^{2} d t \cdot 3 t

= 1 \cdot t^{2} d t + 3 t^{2} t d t

Simplify

1 \cdot t^{2} d t + 3 t^{2} t d t : t^{2} d t + 3 t^{3} d t

= t^{2} d t + 3 t^{3} d t

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Frequently Asked Questions (FAQ)

What is expand (1+3t)t^2dt ?
The solution to expand (1+3t)t^2dt is t^2dt+3t^3dt