Simplify (5y-4)(3y-1)

$(5 y - 4) (3 y - 1)$

Step 1

Expand $(5 y - 4) (3 y - 1)$ using the FOIL Method.

Apply the distributive property.

$5 y (3 y - 1) - 4 (3 y - 1)$

Apply the distributive property.

$5 y (3 y) + 5 y \cdot - 1 - 4 (3 y - 1)$

Apply the distributive property.

$5 y (3 y) + 5 y \cdot - 1 - 4 (3 y) - 4 \cdot - 1$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$5 \cdot 3 y \cdot y + 5 y \cdot - 1 - 4 (3 y) - 4 \cdot - 1$

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

Move $y$ .

$5 \cdot 3 (y \cdot y) + 5 y \cdot - 1 - 4 (3 y) - 4 \cdot - 1$

Multiply $y$ by $y$ .

$5 \cdot 3 y^{2} + 5 y \cdot - 1 - 4 (3 y) - 4 \cdot - 1$

Multiply $5$ by $3$ .

$15 y^{2} + 5 y \cdot - 1 - 4 (3 y) - 4 \cdot - 1$

Multiply $- 1$ by $5$ .

$15 y^{2} - 5 y - 4 (3 y) - 4 \cdot - 1$

Multiply $3$ by $- 4$ .

$15 y^{2} - 5 y - 12 y - 4 \cdot - 1$

Multiply $- 4$ by $- 1$ .

$15 y^{2} - 5 y - 12 y + 4$

Subtract $12 y$ from $- 5 y$ .

$15 y^{2} - 17 y + 4$