Basic Math Examples

$3 (8 p^{2} - 5 p) - 5 (3 p^{2} - 2 p + 4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 (8 p^{2}) + 3 (- 5 p) - 5 (3 p^{2} - 2 p + 4)$

Step 1.2

Multiply $8$ by $3$ .

$24 p^{2} + 3 (- 5 p) - 5 (3 p^{2} - 2 p + 4)$

Step 1.3

Multiply $- 5$ by $3$ .

$24 p^{2} - 15 p - 5 (3 p^{2} - 2 p + 4)$

Step 1.4

Apply the distributive property.

$24 p^{2} - 15 p - 5 (3 p^{2}) - 5 (- 2 p) - 5 \cdot 4$

Step 1.5

Simplify.

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Step 1.5.1

Multiply $3$ by $- 5$ .

$24 p^{2} - 15 p - 15 p^{2} - 5 (- 2 p) - 5 \cdot 4$

Step 1.5.2

Multiply $- 2$ by $- 5$ .

$24 p^{2} - 15 p - 15 p^{2} + 10 p - 5 \cdot 4$

Step 1.5.3

Multiply $- 5$ by $4$ .

$24 p^{2} - 15 p - 15 p^{2} + 10 p - 20$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $15 p^{2}$ from $24 p^{2}$ .

$9 p^{2} - 15 p + 10 p - 20$

Step 2.2

Add $- 15 p$ and $10 p$ .

$9 p^{2} - 5 p - 20$