What is 2y(y^2-5y-3)+y(y+1) ?

The solution to 2y(y^2-5y-3)+y(y+1) is 2y^3-9y^2-5y

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simplify 2y(y^2-5y-3)+y(y+1)

simplify

2 y (y^{2} - 5 y - 3) + y (y + 1)

2 y^{3} - 9 y^{2} - 5 y

Solution steps

2 y (y^{2} - 5 y - 3) + y (y + 1)

Expand

2 y (y^{2} - 5 y - 3) : 2 y^{3} - 10 y^{2} - 6 y

= 2 y^{3} - 10 y^{2} - 6 y + y (y + 1)

Expand

y (y + 1) : y^{2} + y

= 2 y^{3} - 10 y^{2} - 6 y + y^{2} + y

Group like terms

= 2 y^{3} - 10 y^{2} + y^{2} - 6 y + y

Add similar elements:

- 10 y^{2} + y^{2} = - 9 y^{2}

= 2 y^{3} - 9 y^{2} - 6 y + y

Add similar elements:

- 6 y + y = - 5 y

= 2 y^{3} - 9 y^{2} - 5 y

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What is 2y(y^2-5y-3)+y(y+1) ?
The solution to 2y(y^2-5y-3)+y(y+1) is 2y^3-9y^2-5y