Basic Math Examples

$6 y^{3} + 7 y^{2} - 8 y + (- 8 y^{3} + 4 y^{2} + 10 y - 2) + (2 y^{3} + 9 y + 2)$

Step 1

Remove parentheses.

$6 y^{3} + 7 y^{2} - 8 y - 8 y^{3} + 4 y^{2} + 10 y - 2 + 2 y^{3} + 9 y + 2$

Step 2

Combine the opposite terms in $6 y^{3} + 7 y^{2} - 8 y - 8 y^{3} + 4 y^{2} + 10 y - 2 + 2 y^{3} + 9 y + 2$ .

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Step 2.1

Add $- 2$ and $2$ .

$6 y^{3} + 7 y^{2} - 8 y - 8 y^{3} + 4 y^{2} + 10 y + 2 y^{3} + 9 y + 0$

Step 2.2

Add $6 y^{3} + 7 y^{2} - 8 y - 8 y^{3} + 4 y^{2} + 10 y + 2 y^{3} + 9 y$ and $0$ .

$6 y^{3} + 7 y^{2} - 8 y - 8 y^{3} + 4 y^{2} + 10 y + 2 y^{3} + 9 y$

Step 3

Subtract $8 y^{3}$ from $6 y^{3}$ .

$- 2 y^{3} + 7 y^{2} - 8 y + 4 y^{2} + 10 y + 2 y^{3} + 9 y$

Step 4

Combine the opposite terms in $- 2 y^{3} + 7 y^{2} - 8 y + 4 y^{2} + 10 y + 2 y^{3} + 9 y$ .

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Step 4.1

Add $- 2 y^{3}$ and $2 y^{3}$ .

$7 y^{2} - 8 y + 4 y^{2} + 10 y + 0 + 9 y$

Step 4.2

Add $7 y^{2} - 8 y + 4 y^{2} + 10 y$ and $0$ .

$7 y^{2} - 8 y + 4 y^{2} + 10 y + 9 y$

Step 5

Add $7 y^{2}$ and $4 y^{2}$ .

$11 y^{2} - 8 y + 10 y + 9 y$

Step 6

Add $- 8 y$ and $10 y$ .

$11 y^{2} + 2 y + 9 y$

Step 7

Add $2 y$ and $9 y$ .

$11 y^{2} + 11 y$