Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$w^{2} - 2 w + 6 - (- 3 w^{2}) - (5 w) - 1 \cdot 7$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 3$ by $- 1$ .

$w^{2} - 2 w + 6 + 3 w^{2} - (5 w) - 1 \cdot 7$

Step 1.2.2

Multiply $5$ by $- 1$ .

$w^{2} - 2 w + 6 + 3 w^{2} - 5 w - 1 \cdot 7$

Step 1.2.3

Multiply $- 1$ by $7$ .

$w^{2} - 2 w + 6 + 3 w^{2} - 5 w - 7$

Step 2

Simplify by adding terms.

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Step 2.1

Add $w^{2}$ and $3 w^{2}$ .

$4 w^{2} - 2 w + 6 - 5 w - 7$

Step 2.2

Subtract $5 w$ from $- 2 w$ .

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

Step 2.3

Subtract $7$ from $6$ .

$4 w^{2} - 7 w - 1$