What is expand (y+6)(y+2)^2dy ?

The solution to expand (y+6)(y+2)^2dy is y^3dy+10y^2dy+28ydy+24dy

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expand (y+6)(y+2)^2dy

expand

(y + 6) (y + 2)^{2} d y

y^{3} d y + 10 y^{2} d y + 28 y d y + 24 d y

Solution steps

(y + 6) (y + 2)^{2} d y

Apply the distributive law:

a (b + c) = ab + a c

a = (y + 2)^{2} d y, b = y, c = 6

= (y + 2)^{2} d yy + (y + 2)^{2} d y \cdot 6

= y (y + 2)^{2} d y + 6 (y + 2)^{2} d y

Simplify

y (y + 2)^{2} d y + 6 (y + 2)^{2} d y : y^{3} d y + 10 y^{2} d y + 28 y d y + 24 d y

= y^{3} d y + 10 y^{2} d y + 28 y d y + 24 d y

5760 \cdot (- 625 s + 188 π^{2} \cdot (3 s + 1280))

((18 \cdot 16 \cdot 0.8) + (23 \cdot, 8 \cdot 12)) \cdot 4

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\frac{1}{3} e^{3 x} (x - \frac{1}{3})

(e^{4 t} + e^{- 4 t})^{2}

What is expand (y+6)(y+2)^2dy ?
The solution to expand (y+6)(y+2)^2dy is y^3dy+10y^2dy+28ydy+24dy