Basic Math Examples

$(10 + a) (300 - 15 a)$

Step 1

Expand $(10 + a) (300 - 15 a)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$10 (300 - 15 a) + a (300 - 15 a)$

Step 1.2

Apply the distributive property.

$10 \cdot 300 + 10 (- 15 a) + a (300 - 15 a)$

Step 1.3

Apply the distributive property.

$10 \cdot 300 + 10 (- 15 a) + a \cdot 300 + a (- 15 a)$

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 $10$ by $300$ .

$3000 + 10 (- 15 a) + a \cdot 300 + a (- 15 a)$

Step 2.1.2

Multiply $- 15$ by $10$ .

$3000 - 150 a + a \cdot 300 + a (- 15 a)$

Step 2.1.3

Move $300$ to the left of $a$ .

$3000 - 150 a + 300 \cdot a + a (- 15 a)$

Step 2.1.4

Rewrite using the commutative property of multiplication.

$3000 - 150 a + 300 a - 15 a \cdot a$

Step 2.1.5

Multiply $a$ by $a$ by adding the exponents.

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Step 2.1.5.1

Move $a$ .

$3000 - 150 a + 300 a - 15 (a \cdot a)$

Step 2.1.5.2

Multiply $a$ by $a$ .

$3000 - 150 a + 300 a - 15 a^{2}$

Step 2.2

Add $- 150 a$ and $300 a$ .

$3000 + 150 a - 15 a^{2}$