Basic Math Examples

$(4 a - 5) (3 y - 7)$

Step 1

Expand $(4 a - 5) (3 y - 7)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$4 a (3 y - 7) - 5 (3 y - 7)$

Step 1.2

Apply the distributive property.

$4 a (3 y) + 4 a \cdot - 7 - 5 (3 y - 7)$

Step 1.3

Apply the distributive property.

$4 a (3 y) + 4 a \cdot - 7 - 5 (3 y) - 5 \cdot - 7$

Step 2

Simplify each term.

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Step 2.1

Rewrite using the commutative property of multiplication.

$4 \cdot 3 a y + 4 a \cdot - 7 - 5 (3 y) - 5 \cdot - 7$

Step 2.2

Multiply $4$ by $3$ .

$12 a y + 4 a \cdot - 7 - 5 (3 y) - 5 \cdot - 7$

Step 2.3

Multiply $- 7$ by $4$ .

$12 a y - 28 a - 5 (3 y) - 5 \cdot - 7$

Step 2.4

Multiply $3$ by $- 5$ .

$12 a y - 28 a - 15 y - 5 \cdot - 7$

Step 2.5

Multiply $- 5$ by $- 7$ .

$12 a y - 28 a - 15 y + 35$