Basic Math Examples

$5 w^{2} + 5 w - 1 + (7 w^{2} + 9 w - 6) - (4 w + 7 w - 1)$

Step 1

Remove parentheses.

$5 w^{2} + 5 w - 1 + 7 w^{2} + 9 w - 6 - (4 w + 7 w - 1)$

Step 2

Simplify each term.

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Step 2.1

Add $4 w$ and $7 w$ .

$5 w^{2} + 5 w - 1 + 7 w^{2} + 9 w - 6 - (11 w - 1)$

Step 2.2

Apply the distributive property.

$5 w^{2} + 5 w - 1 + 7 w^{2} + 9 w - 6 - (11 w) - - 1$

Step 2.3

Multiply $11$ by $- 1$ .

$5 w^{2} + 5 w - 1 + 7 w^{2} + 9 w - 6 - 11 w - - 1$

Step 2.4

Multiply $- 1$ by $- 1$ .

$5 w^{2} + 5 w - 1 + 7 w^{2} + 9 w - 6 - 11 w + 1$

Step 3

Simplify by adding terms.

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Step 3.1

Combine the opposite terms in $5 w^{2} + 5 w - 1 + 7 w^{2} + 9 w - 6 - 11 w + 1$ .

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Step 3.1.1

Add $- 1$ and $1$ .

$5 w^{2} + 5 w + 7 w^{2} + 9 w - 6 - 11 w + 0$

Step 3.1.2

Add $5 w^{2} + 5 w + 7 w^{2} + 9 w - 6 - 11 w$ and $0$ .

$5 w^{2} + 5 w + 7 w^{2} + 9 w - 6 - 11 w$

Step 3.2

Add $5 w^{2}$ and $7 w^{2}$ .

$12 w^{2} + 5 w + 9 w - 6 - 11 w$

Step 3.3

Add $5 w$ and $9 w$ .

$12 w^{2} + 14 w - 6 - 11 w$

Step 3.4

Subtract $11 w$ from $14 w$ .

$12 w^{2} + 3 w - 6$