What is expand (3y^3+5-6y)(y^2+2) ?

The solution to expand (3y^3+5-6y)(y^2+2) is 3y^5+5y^2-12y+10

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expand (3y^3+5-6y)(y^2+2)

expand

(3 y^{3} + 5 - 6 y) (y^{2} + 2)

3 y^{5} + 5 y^{2} - 12 y + 10

Solution steps

(3 y^{3} + 5 - 6 y) (y^{2} + 2)

Distribute parentheses

= 3 y^{3} y^{2} + 3 y^{3} \cdot 2 + 5 y^{2} + 5 \cdot 2 - 6 y y^{2} - 6 y \cdot 2

Simplify

3 y^{3} y^{2} + 3 y^{3} \cdot 2 + 5 y^{2} + 5 \cdot 2 - 6 y y^{2} - 6 y \cdot 2 : 3 y^{5} + 5 y^{2} - 12 y + 10

= 3 y^{5} + 5 y^{2} - 12 y + 10

\frac{7}{6} - \frac{1}{2}

40 x^{6} + 15 x^{4} - 20 x^{3} - 15 x^{2}

\frac{3}{12 6}

5^{2} - 4 \cdot 1 \cdot 6

(3 x^{2} - 5 x + 7) + (- 2 + 6 x - 7 x^{2} + x^{3})

What is expand (3y^3+5-6y)(y^2+2) ?
The solution to expand (3y^3+5-6y)(y^2+2) is 3y^5+5y^2-12y+10