What is expand sqrt(4-y)(y^4-4y^3+4y) ?

The solution to expand sqrt(4-y)(y^4-4y^3+4y) is y^4sqrt(4-y)-4y^3sqrt(4-y)+4ysqrt(4-y)

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expand sqrt(4-y)(y^4-4y^3+4y)

expand

4 - y (y^{4} - 4 y^{3} + 4 y)

y^{4} 4 - y - 4 y^{3} 4 - y + 4 y 4 - y

Solution steps

4 - y (y^{4} - 4 y^{3} + 4 y)

Apply the distributive law:

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

4 - y (y^{4} - 4 y^{3} + 4 y) = 4 - y y^{4} + 4 - y (- 4 y^{3}) + 4 - y \cdot 4 y

= 4 - y y^{4} + 4 - y (- 4 y^{3}) + 4 - y \cdot 4 y

Simplify

4 - y y^{4} + 4 - y (- 4 y^{3}) + 4 - y \cdot 4 y : y^{4} 4 - y - 4 y^{3} 4 - y + 4 y 4 - y

= y^{4} 4 - y - 4 y^{3} 4 - y + 4 y 4 - y

2 (2^{\frac{1}{2}} - 4)

3 (7 + 10)

\frac{4 s ( 8 + 4 s + s ^{2} )}{( 2 + s ) ^{2} ( 4 + s )}

- \frac{5 ( x - 140 ) ( x - 180 ) ( x - 240 )}{64}

3 (1 + 2 sin (θ))

What is expand sqrt(4-y)(y^4-4y^3+4y) ?
The solution to expand sqrt(4-y)(y^4-4y^3+4y) is y^4sqrt(4-y)-4y^3sqrt(4-y)+4ysqrt(4-y)