Basic Math Examples

$(r - 4) (r + 8) - 24$

Step 1

Expand $(r - 4) (r + 8)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$r (r + 8) - 4 (r + 8) - 24$

Step 1.2

Apply the distributive property.

$r \cdot r + r \cdot 8 - 4 (r + 8) - 24$

Step 1.3

Apply the distributive property.

$r \cdot r + r \cdot 8 - 4 r - 4 \cdot 8 - 24$

$r \cdot r + r \cdot 8 - 4 r - 4 \cdot 8 - 24$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $r$ by $r$ .

$r^{2} + r \cdot 8 - 4 r - 4 \cdot 8 - 24$

Step 2.1.2

Move $8$ to the left of $r$ .

$r^{2} + 8 r - 4 r - 4 \cdot 8 - 24$

Step 2.1.3

Multiply $- 4$ by $8$ .

$r^{2} + 8 r - 4 r - 32 - 24$

$r^{2} + 8 r - 4 r - 32 - 24$

Step 2.2

Subtract $4 r$ from $8 r$ .

$r^{2} + 4 r - 32 - 24$

$r^{2} + 4 r - 32 - 24$

Step 3

Subtract $24$ from $- 32$ .

$r^{2} + 4 r - 56$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$