What is expand (64t^3-128t^2+64t)*4sqrt(2) ?

The solution to expand (64t^3-128t^2+64t)*4sqrt(2) is 256sqrt(2)t^3-512sqrt(2)t^2+256sqrt(2)t

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expand (64t^3-128t^2+64t)*4sqrt(2)

expand

(64 t^{3} - 128 t^{2} + 64 t) \cdot 42

2562 t^{3} - 5122 t^{2} + 2562 t

Solution steps

(64 t^{3} - 128 t^{2} + 64 t) \cdot 42

= 42 (64 t^{3} - 128 t^{2} + 64 t)

Apply the distributive law:

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

42 (64 t^{3} - 128 t^{2} + 64 t) = 42 \cdot 64 t^{3} + 42 (- 128 t^{2}) + 42 \cdot 64 t

= 42 \cdot 64 t^{3} + 42 (- 128 t^{2}) + 42 \cdot 64 t

Simplify

42 \cdot 64 t^{3} + 42 (- 128 t^{2}) + 42 \cdot 64 t : 2562 t^{3} - 5122 t^{2} + 2562 t

= 2562 t^{3} - 5122 t^{2} + 2562 t

2 (2 y^{2} + \frac{2}{y ^{2}} + c)

\frac{( x - 9 y ) ( x - 5 y )}{2 ( x + y )}

(4 x - 5) (6 x + 4)

(\frac{a x}{3} - b y) (\frac{a x}{3} + b y)

f (t - π)

What is expand (64t^3-128t^2+64t)*4sqrt(2) ?
The solution to expand (64t^3-128t^2+64t)*4sqrt(2) is 256sqrt(2)t^3-512sqrt(2)t^2+256sqrt(2)t