Basic Math Examples

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

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

Step 1

Simplify terms.

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Step 1.1

Add

4 q

$4 q$ and

q

$q$ .

5 q (4 p - q)

$5 q (4 p - q)$

Step 1.2

Apply the distributive property.

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

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

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)

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

Step 1.3.2

Rewrite using the commutative property of multiplication.

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

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

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

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

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

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

Step 2

Simplify each term.

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Step 2.1

Multiply

5

$5$ by

4

$4$ .

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

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

Step 2.2

Multiply

q

$q$ by

q

$q$ by adding the exponents.

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Step 2.2.1

Move

q

$q$ .

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

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

Step 2.2.2

Multiply

q

$q$ by

q

$q$ .

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

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

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

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

Step 2.3

Multiply

5

$5$ by

- 1

$- 1$ .

20 q p - 5 q^{2}

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

20 q p - 5 q^{2}

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