Finite Math Examples

$(6 - 8 y) (8 y + 6)$

Step 1

Expand $(6 - 8 y) (8 y + 6)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$6 (8 y + 6) - 8 y (8 y + 6)$

Step 1.2

Apply the distributive property.

$6 (8 y) + 6 \cdot 6 - 8 y (8 y + 6)$

Step 1.3

Apply the distributive property.

$6 (8 y) + 6 \cdot 6 - 8 y (8 y) - 8 y \cdot 6$

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 $8$ by $6$ .

$48 y + 6 \cdot 6 - 8 y (8 y) - 8 y \cdot 6$

Step 2.1.2

Multiply $6$ by $6$ .

$48 y + 36 - 8 y (8 y) - 8 y \cdot 6$

Step 2.1.3

Rewrite using the commutative property of multiplication.

$48 y + 36 - 8 \cdot 8 y \cdot y - 8 y \cdot 6$

Step 2.1.4

Multiply $y$ by $y$ by adding the exponents.

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Step 2.1.4.1

Move $y$ .

$48 y + 36 - 8 \cdot 8 (y \cdot y) - 8 y \cdot 6$

Step 2.1.4.2

Multiply $y$ by $y$ .

$48 y + 36 - 8 \cdot 8 y^{2} - 8 y \cdot 6$

Step 2.1.5

Multiply $- 8$ by $8$ .

$48 y + 36 - 64 y^{2} - 8 y \cdot 6$

Step 2.1.6

Multiply $6$ by $- 8$ .

$48 y + 36 - 64 y^{2} - 48 y$

Step 2.2

Subtract $48 y$ from $48 y$ .

$36 - 64 y^{2} + 0$

Step 2.3

Add $36$ and $0$ .

$- 64 y^{2} + 36$