Basic Math Examples

$y = 8 {(S - 10)}^{2} - 16$

Step 1

Simplify each term.

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Step 1.1

Rewrite ${(S - 10)}^{2}$ as $(S - 10) (S - 10)$ .

$y = 8 ((S - 10) (S - 10)) - 16$

Step 1.2

Expand $(S - 10) (S - 10)$ using the FOIL Method.

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Step 1.2.1

Apply the distributive property.

$y = 8 (S (S - 10) - 10 (S - 10)) - 16$

Step 1.2.2

Apply the distributive property.

$y = 8 (S \cdot S + S \cdot - 10 - 10 (S - 10)) - 16$

Step 1.2.3

Apply the distributive property.

$y = 8 (S \cdot S + S \cdot - 10 - 10 S - 10 \cdot - 10) - 16$

Step 1.3

Simplify and combine like terms.

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Step 1.3.1

Simplify each term.

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Step 1.3.1.1

Multiply $S$ by $S$ .

$y = 8 (S^{2} + S \cdot - 10 - 10 S - 10 \cdot - 10) - 16$

Step 1.3.1.2

Move $- 10$ to the left of $S$ .

$y = 8 (S^{2} - 10 \cdot S - 10 S - 10 \cdot - 10) - 16$

Step 1.3.1.3

Multiply $- 10$ by $- 10$ .

$y = 8 (S^{2} - 10 S - 10 S + 100) - 16$

Step 1.3.2

Subtract $10 S$ from $- 10 S$ .

$y = 8 (S^{2} - 20 S + 100) - 16$

Step 1.4

Apply the distributive property.

$y = 8 S^{2} + 8 (- 20 S) + 8 \cdot 100 - 16$

Step 1.5

Simplify.

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Step 1.5.1

Multiply $- 20$ by $8$ .

$y = 8 S^{2} - 160 S + 8 \cdot 100 - 16$

Step 1.5.2

Multiply $8$ by $100$ .

$y = 8 S^{2} - 160 S + 800 - 16$

Step 2

Subtract $16$ from $800$ .

$y = 8 S^{2} - 160 S + 784$