Pre-Algebra Examples

$(5 u - 4) - (2 u^{2} - 3 u - 4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 u - 4 - (2 u^{2}) - (- 3 u) - - 4$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 1$ .

$5 u - 4 - 2 u^{2} - (- 3 u) - - 4$

Step 1.2.2

Multiply $- 3$ by $- 1$ .

$5 u - 4 - 2 u^{2} + 3 u - - 4$

Step 1.2.3

Multiply $- 1$ by $- 4$ .

$5 u - 4 - 2 u^{2} + 3 u + 4$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $5 u - 4 - 2 u^{2} + 3 u + 4$ .

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Step 2.1.1

Add $- 4$ and $4$ .

$5 u - 2 u^{2} + 3 u + 0$

Step 2.1.2

Add $5 u - 2 u^{2} + 3 u$ and $0$ .

$5 u - 2 u^{2} + 3 u$

Step 2.2

Add $5 u$ and $3 u$ .

$- 2 u^{2} + 8 u$