Pre-Algebra Examples

$(5 s^{2} - 3 s) - (2 s^{2} - 7 s) + (5 s^{2} - 6)$

Step 1

Remove parentheses.

$(5 s^{2} - 3 s) - (2 s^{2} - 7 s) + 5 s^{2} - 6$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$5 s^{2} - 3 s - (2 s^{2}) - (- 7 s) + 5 s^{2} - 6$

Step 2.2

Multiply $2$ by $- 1$ .

$5 s^{2} - 3 s - 2 s^{2} - (- 7 s) + 5 s^{2} - 6$

Step 2.3

Multiply $- 7$ by $- 1$ .

$5 s^{2} - 3 s - 2 s^{2} + 7 s + 5 s^{2} - 6$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $2 s^{2}$ from $5 s^{2}$ .

$3 s^{2} - 3 s + 7 s + 5 s^{2} - 6$

Step 3.2

Add $3 s^{2}$ and $5 s^{2}$ .

$8 s^{2} - 3 s + 7 s - 6$

Step 3.3

Add $- 3 s$ and $7 s$ .

$8 s^{2} + 4 s - 6$