Algebra Examples

$(3 y - 8) (- x + y)$

Step 1

Expand $(3 y - 8) (- x + y)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$3 y (- x + y) - 8 (- x + y)$

Step 1.2

Apply the distributive property.

$3 y (- x) + 3 y \cdot y - 8 (- x + y)$

Step 1.3

Apply the distributive property.

$3 y (- x) + 3 y \cdot y - 8 (- x) - 8 y$

Step 2

Simplify 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.

$3 \cdot - 1 y x + 3 y \cdot y - 8 (- x) - 8 y$

Step 2.1.2

Multiply $3$ by $- 1$ .

$- 3 y x + 3 y \cdot y - 8 (- x) - 8 y$

Step 2.1.3

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

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Step 2.1.3.1

Move $y$ .

$- 3 y x + 3 (y \cdot y) - 8 (- x) - 8 y$

Step 2.1.3.2

Multiply $y$ by $y$ .

$- 3 y x + 3 y^{2} - 8 (- x) - 8 y$

Step 2.1.4

Multiply $- 1$ by $- 8$ .

$- 3 y x + 3 y^{2} + 8 x - 8 y$

Step 2.2

Move $y$ .

$- 3 x y + 3 y^{2} + 8 x - 8 y$