Simplify (4a-5)(8a-1)

$(4 a - 5) (8 a - 1)$

Expand $(4 a - 5) (8 a - 1)$ using the FOIL Method.

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Apply the distributive property.

$4 a (8 a - 1) - 5 (8 a - 1)$

Apply the distributive property.

$4 a (8 a) + 4 a \cdot - 1 - 5 (8 a - 1)$

Apply the distributive property.

$4 a (8 a) + 4 a \cdot - 1 - 5 (8 a) - 5 \cdot - 1$

Simplify and combine like terms.

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Simplify each term.

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Multiply $a$ by $a$ .

$4 \cdot 8 a^{2} + 4 a \cdot - 1 - 5 (8 a) - 5 \cdot - 1$

Multiply $4$ by $8$ .

$32 a^{2} + 4 a \cdot - 1 - 5 (8 a) - 5 \cdot - 1$

Multiply $- 1$ by $4$ .

$32 a^{2} - 4 a - 5 (8 a) - 5 \cdot - 1$

Multiply $8$ by $- 5$ .

$32 a^{2} - 4 a - 40 a - 5 \cdot - 1$

Multiply $- 5$ by $- 1$ .

$32 a^{2} - 4 a - 40 a + 5$

Subtract $40 a$ from $- 4 a$ .

$32 a^{2} - 44 a + 5$

Simplify (4a-5)(8a-1)

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