Algebra Examples

$(- 3 y^{2} - 8) - (- 5 y^{2} + 1)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 3 y^{2} - 8 - (- 5 y^{2}) - 1 \cdot 1$

Step 1.2

Multiply $- 5$ by $- 1$ .

$- 3 y^{2} - 8 + 5 y^{2} - 1 \cdot 1$

Step 1.3

Multiply $- 1$ by $1$ .

$- 3 y^{2} - 8 + 5 y^{2} - 1$

$- 3 y^{2} - 8 + 5 y^{2} - 1$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 3 y^{2}$ and $5 y^{2}$ .

$2 y^{2} - 8 - 1$

Step 2.2

Subtract $1$ from $- 8$ .

$2 y^{2} - 9$

$2 y^{2} - 9$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$