Basic Math Examples

$6 u^{2} + 4 u + 7 + (7 u^{2} + 8 u + 4) - (- 2 u^{2} + 6 u - 2)$

Step 1

Remove parentheses.

$6 u^{2} + 4 u + 7 + 7 u^{2} + 8 u + 4 - (- 2 u^{2} + 6 u - 2)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$6 u^{2} + 4 u + 7 + 7 u^{2} + 8 u + 4 - (- 2 u^{2}) - (6 u) - - 2$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 2$ by $- 1$ .

$6 u^{2} + 4 u + 7 + 7 u^{2} + 8 u + 4 + 2 u^{2} - (6 u) - - 2$

Step 2.2.2

Multiply $6$ by $- 1$ .

$6 u^{2} + 4 u + 7 + 7 u^{2} + 8 u + 4 + 2 u^{2} - 6 u - - 2$

Step 2.2.3

Multiply $- 1$ by $- 2$ .

$6 u^{2} + 4 u + 7 + 7 u^{2} + 8 u + 4 + 2 u^{2} - 6 u + 2$

Step 3

Simplify by adding terms.

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Step 3.1

Add $6 u^{2}$ and $7 u^{2}$ .

$13 u^{2} + 4 u + 7 + 8 u + 4 + 2 u^{2} - 6 u + 2$

Step 3.2

Add $13 u^{2}$ and $2 u^{2}$ .

$15 u^{2} + 4 u + 7 + 8 u + 4 - 6 u + 2$

Step 3.3

Add $4 u$ and $8 u$ .

$15 u^{2} + 12 u + 7 + 4 - 6 u + 2$

Step 3.4

Subtract $6 u$ from $12 u$ .

$15 u^{2} + 6 u + 7 + 4 + 2$

Step 3.5

Simplify by adding numbers.

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Step 3.5.1

Add $7$ and $4$ .

$15 u^{2} + 6 u + 11 + 2$

Step 3.5.2

Add $11$ and $2$ .

$15 u^{2} + 6 u + 13$