Chemistry Examples

$(6 x - 8) (5 x - 8)$

Step 1

Expand $(6 x - 8) (5 x - 8)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$6 x (5 x - 8) - 8 (5 x - 8)$

Step 1.2

Apply the distributive property.

$6 x (5 x) + 6 x \cdot - 8 - 8 (5 x - 8)$

Step 1.3

Apply the distributive property.

$6 x (5 x) + 6 x \cdot - 8 - 8 (5 x) - 8 \cdot - 8$

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

Rewrite using the commutative property of multiplication.

$6 \cdot 5 x \cdot x + 6 x \cdot - 8 - 8 (5 x) - 8 \cdot - 8$

Step 2.1.2

Multiply $x$ by $x$ by adding the exponents.

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Step 2.1.2.1

Move $x$ .

$6 \cdot 5 (x \cdot x) + 6 x \cdot - 8 - 8 (5 x) - 8 \cdot - 8$

Step 2.1.2.2

Multiply $x$ by $x$ .

$6 \cdot 5 x^{2} + 6 x \cdot - 8 - 8 (5 x) - 8 \cdot - 8$

Step 2.1.3

Multiply $6$ by $5$ .

$30 x^{2} + 6 x \cdot - 8 - 8 (5 x) - 8 \cdot - 8$

Step 2.1.4

Multiply $- 8$ by $6$ .

$30 x^{2} - 48 x - 8 (5 x) - 8 \cdot - 8$

Step 2.1.5

Multiply $5$ by $- 8$ .

$30 x^{2} - 48 x - 40 x - 8 \cdot - 8$

Step 2.1.6

Multiply $- 8$ by $- 8$ .

$30 x^{2} - 48 x - 40 x + 64$

Step 2.2

Subtract $40 x$ from $- 48 x$ .

$30 x^{2} - 88 x + 64$