Algebra Examples

$(7 w^{2} + 6 w z + 4 z^{2}) - (w^{2} - 3 w z + 2 z^{2})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 w^{2} + 6 w z + 4 z^{2} - w^{2} - (- 3 w z) - (2 z^{2})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 3$ by $- 1$ .

$7 w^{2} + 6 w z + 4 z^{2} - w^{2} + 3 (w z) - (2 z^{2})$

Step 1.2.2

Multiply $2$ by $- 1$ .

$7 w^{2} + 6 w z + 4 z^{2} - w^{2} + 3 (w z) - 2 z^{2}$

$7 w^{2} + 6 w z + 4 z^{2} - w^{2} + 3 w z - 2 z^{2}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $w^{2}$ from $7 w^{2}$ .

$6 w^{2} + 6 w z + 4 z^{2} + 3 w z - 2 z^{2}$

Step 2.2

Add $6 w z$ and $3 w z$ .

$6 w^{2} + 4 z^{2} + 9 w z - 2 z^{2}$

Step 2.3

Subtract $2 z^{2}$ from $4 z^{2}$ .

$6 w^{2} + 2 z^{2} + 9 w z$