Basic Math Examples

$(4 q + q) (4 p - q)$

Step 1

Simplify terms.

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Step 1.1

Add $4 q$ and $q$ .

$5 q (4 p - q)$

Step 1.2

Apply the distributive property.

$5 q (4 p) + 5 q (- q)$

Step 1.3

Reorder.

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Step 1.3.1

Rewrite using the commutative property of multiplication.

$5 \cdot 4 q p + 5 q (- q)$

Step 1.3.2

Rewrite using the commutative property of multiplication.

$5 \cdot 4 q p + 5 \cdot - 1 q \cdot q$

Step 2

Simplify each term.

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Step 2.1

Multiply $5$ by $4$ .

$20 q p + 5 \cdot - 1 q \cdot q$

Step 2.2

Multiply $q$ by $q$ by adding the exponents.

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Step 2.2.1

Move $q$ .

$20 q p + 5 \cdot - 1 (q \cdot q)$

Step 2.2.2

Multiply $q$ by $q$ .

$20 q p + 5 \cdot - 1 q^{2}$

Step 2.3

Multiply $5$ by $- 1$ .

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