What is expand sqrt(14)(-2-2t)^2*3t ?

The solution to expand sqrt(14)(-2-2t)^2*3t is 12sqrt(14)t+24sqrt(14)t^2+12sqrt(14)t^3

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expand sqrt(14)(-2-2t)^2*3t

expand

14 (- 2 - 2 t)^{2} \cdot 3 t

1214 t + 2414 t^{2} + 1214 t^{3}

Solution steps

14 (- 2 - 2 t)^{2} \cdot 3 t

= 314 t (- 2 - 2 t)^{2}

Expand

(- 2 - 2 t)^{2} : 4 + 8 t + 4 t^{2}

= 314 t (4 + 8 t + 4 t^{2})

Apply the distributive law:

m (a + b + c) = ma + mb + m c

314 t (4 + 8 t + 4 t^{2}) = 314 t \cdot 4 + 314 t \cdot 8 t + 314 t \cdot 4 t^{2}

= 314 t \cdot 4 + 314 t \cdot 8 t + 314 t \cdot 4 t^{2}

Simplify

314 t \cdot 4 + 314 t \cdot 8 t + 314 t \cdot 4 t^{2} : 1214 t + 2414 t^{2} + 1214 t^{3}

= 1214 t + 2414 t^{2} + 1214 t^{3}

\frac{13}{4} (2 x + \frac{3}{4})

\frac{2}{3} - \frac{3}{4}

(a + bi) (c + d i) (e + f i)

(6 sin (x) + 9 cos (x)) arctan (x)

What is expand sqrt(14)(-2-2t)^2*3t ?
The solution to expand sqrt(14)(-2-2t)^2*3t is 12sqrt(14)t+24sqrt(14)t^2+12sqrt(14)t^3