Algebra Examples

$(12 s^{4} - 6 s^{2} + 4 s) + (6 s^{4} - 4 s + 27) - (4 s^{4} + s^{2} + 12)$

Step 1

Simplify by adding terms.

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Step 1.1

Remove parentheses.

$12 s^{4} - 6 s^{2} + 4 s + 6 s^{4} - 4 s + 27 - (4 s^{4} + s^{2} + 12)$

Step 1.2

Combine the opposite terms in $12 s^{4} - 6 s^{2} + 4 s + 6 s^{4} - 4 s + 27 - (4 s^{4} + s^{2} + 12)$ .

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Step 1.2.1

Subtract $4 s$ from $4 s$ .

$12 s^{4} - 6 s^{2} + 6 s^{4} + 0 + 27 - (4 s^{4} + s^{2} + 12)$

Step 1.2.2

Add $12 s^{4} - 6 s^{2} + 6 s^{4}$ and $0$ .

$12 s^{4} - 6 s^{2} + 6 s^{4} + 27 - (4 s^{4} + s^{2} + 12)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$12 s^{4} - 6 s^{2} + 6 s^{4} + 27 - (4 s^{4}) - s^{2} - 1 \cdot 12$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $4$ by $- 1$ .

$12 s^{4} - 6 s^{2} + 6 s^{4} + 27 - 4 s^{4} - s^{2} - 1 \cdot 12$

Step 2.2.2

Multiply $- 1$ by $12$ .

$12 s^{4} - 6 s^{2} + 6 s^{4} + 27 - 4 s^{4} - s^{2} - 12$

Step 3

Simplify by adding terms.

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Step 3.1

Add $12 s^{4}$ and $6 s^{4}$ .

$18 s^{4} - 6 s^{2} + 27 - 4 s^{4} - s^{2} - 12$

Step 3.2

Subtract $4 s^{4}$ from $18 s^{4}$ .

$14 s^{4} - 6 s^{2} + 27 - s^{2} - 12$

Step 3.3

Subtract $s^{2}$ from $- 6 s^{2}$ .

$14 s^{4} - 7 s^{2} + 27 - 12$

Step 3.4

Subtract $12$ from $27$ .

$14 s^{4} - 7 s^{2} + 15$