What is expand (y^2+2y)(y^3-2y^2+1) ?

The solution to expand (y^2+2y)(y^3-2y^2+1) is y^5-4y^3+y^2+2y

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expand (y^2+2y)(y^3-2y^2+1)

expand

(y^{2} + 2 y) (y^{3} - 2 y^{2} + 1)

y^{5} - 4 y^{3} + y^{2} + 2 y

Solution steps

(y^{2} + 2 y) (y^{3} - 2 y^{2} + 1)

Distribute parentheses

= y^{2} y^{3} + y^{2} (- 2 y^{2}) + y^{2} \cdot 1 + 2 y y^{3} + 2 y (- 2 y^{2}) + 2 y \cdot 1

Simplify

y^{2} y^{3} + y^{2} (- 2 y^{2}) + y^{2} \cdot 1 + 2 y y^{3} + 2 y (- 2 y^{2}) + 2 y \cdot 1 : y^{5} - 4 y^{3} + y^{2} + 2 y

= y^{5} - 4 y^{3} + y^{2} + 2 y

\frac{- x y ^{2} z ^{3}}{( x y ^{2} z ^{3} ) ^{- 1}}

(n - 1) (n + 20)

\frac{1}{x} + \frac{3}{x} - \frac{1}{x}

10 \div 10

cos^{2} (arctan (x))

What is expand (y^2+2y)(y^3-2y^2+1) ?
The solution to expand (y^2+2y)(y^3-2y^2+1) is y^5-4y^3+y^2+2y