Pre-Algebra Examples

$3 (x^{2} - 7 x + 6) + 4 (2 x^{2} + 4 - 8)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 x^{2} + 3 (- 7 x) + 3 \cdot 6 + 4 (2 x^{2} + 4 - 8)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 7$ by $3$ .

$3 x^{2} - 21 x + 3 \cdot 6 + 4 (2 x^{2} + 4 - 8)$

Step 1.2.2

Multiply $3$ by $6$ .

$3 x^{2} - 21 x + 18 + 4 (2 x^{2} + 4 - 8)$

Step 1.3

Subtract $8$ from $4$ .

$3 x^{2} - 21 x + 18 + 4 (2 x^{2} - 4)$

Step 1.4

Apply the distributive property.

$3 x^{2} - 21 x + 18 + 4 (2 x^{2}) + 4 \cdot - 4$

Step 1.5

Multiply $2$ by $4$ .

$3 x^{2} - 21 x + 18 + 8 x^{2} + 4 \cdot - 4$

Step 1.6

Multiply $4$ by $- 4$ .

$3 x^{2} - 21 x + 18 + 8 x^{2} - 16$

Step 2

Simplify by adding terms.

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Step 2.1

Add $3 x^{2}$ and $8 x^{2}$ .

$11 x^{2} - 21 x + 18 - 16$

Step 2.2

Subtract $16$ from $18$ .

$11 x^{2} - 21 x + 2$