Algebra Examples

$(- 3 y^{2} - 5 y - 2) + (- 7 y^{2} + 5 y + 2)$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Combine the opposite terms in $- 3 y^{2} - 5 y - 2 - 7 y^{2} + 5 y + 2$ .

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Step 2.1

Add $- 5 y$ and $5 y$ .

$- 3 y^{2} - 2 - 7 y^{2} + 0 + 2$

Step 2.2

Add $- 3 y^{2} - 2 - 7 y^{2}$ and $0$ .

$- 3 y^{2} - 2 - 7 y^{2} + 2$

Step 2.3

Add $- 2$ and $2$ .

$- 3 y^{2} - 7 y^{2} + 0$

Step 2.4

Add $- 3 y^{2} - 7 y^{2}$ and $0$ .

$- 3 y^{2} - 7 y^{2}$

Step 3

Subtract $7 y^{2}$ from $- 3 y^{2}$ .

$- 10 y^{2}$