Chemistry Examples

$(4 + 7 w) (4 - 7 w)$

Step 1

Expand $(4 + 7 w) (4 - 7 w)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$4 (4 - 7 w) + 7 w (4 - 7 w)$

Step 1.2

Apply the distributive property.

$4 \cdot 4 + 4 (- 7 w) + 7 w (4 - 7 w)$

Step 1.3

Apply the distributive property.

$4 \cdot 4 + 4 (- 7 w) + 7 w \cdot 4 + 7 w (- 7 w)$

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 $4$ by $4$ .

$16 + 4 (- 7 w) + 7 w \cdot 4 + 7 w (- 7 w)$

Step 2.1.2

Multiply $- 7$ by $4$ .

$16 - 28 w + 7 w \cdot 4 + 7 w (- 7 w)$

Step 2.1.3

Multiply $4$ by $7$ .

$16 - 28 w + 28 w + 7 w (- 7 w)$

Step 2.1.4

Rewrite using the commutative property of multiplication.

$16 - 28 w + 28 w + 7 \cdot - 7 w \cdot w$

Step 2.1.5

Multiply $w$ by $w$ by adding the exponents.

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Step 2.1.5.1

Move $w$ .

$16 - 28 w + 28 w + 7 \cdot - 7 (w \cdot w)$

Step 2.1.5.2

Multiply $w$ by $w$ .

$16 - 28 w + 28 w + 7 \cdot - 7 w^{2}$

Step 2.1.6

Multiply $7$ by $- 7$ .

$16 - 28 w + 28 w - 49 w^{2}$

Step 2.2

Add $- 28 w$ and $28 w$ .

$16 + 0 - 49 w^{2}$

Step 2.3

Add $16$ and $0$ .

$16 - 49 w^{2}$