Algebra Examples

$(7 u^{2} + 10 u + 6)$ from $(3 u^{2} - 5 u + 4)$

Step 1

Write the problem as a mathematical expression.

$(3 u^{2} - 5 u + 4) - (7 u^{2} + 10 u + 6)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$3 u^{2} - 5 u + 4 - (7 u^{2}) - (10 u) - 1 \cdot 6$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $7$ by $- 1$ .

$3 u^{2} - 5 u + 4 - 7 u^{2} - (10 u) - 1 \cdot 6$

Step 2.2.2

Multiply $10$ by $- 1$ .

$3 u^{2} - 5 u + 4 - 7 u^{2} - 10 u - 1 \cdot 6$

Step 2.2.3

Multiply $- 1$ by $6$ .

$3 u^{2} - 5 u + 4 - 7 u^{2} - 10 u - 6$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $7 u^{2}$ from $3 u^{2}$ .

$- 4 u^{2} - 5 u + 4 - 10 u - 6$

Step 3.2

Subtract $10 u$ from $- 5 u$ .

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

Step 3.3

Subtract $6$ from $4$ .

$- 4 u^{2} - 15 u - 2$