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

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

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

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Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Simplify each term.

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Rewrite using the commutative property of multiplication.

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

Multiply $4$ by $3$ .

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

Multiply $- 7$ by $4$ .

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

Multiply $3$ by $- 5$ .

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

Multiply $- 5$ by $- 7$ .

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

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

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