Simplify (d-1)(5d-4)

$(d - 1) (5 d - 4)$

Step 1

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

Apply the distributive property.

$d (5 d - 4) - 1 (5 d - 4)$

Apply the distributive property.

$d (5 d) + d \cdot - 4 - 1 (5 d - 4)$

Apply the distributive property.

$d (5 d) + d \cdot - 4 - 1 (5 d) - 1 \cdot - 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$5 d \cdot d + d \cdot - 4 - 1 (5 d) - 1 \cdot - 4$

Multiply $d$ by $d$ by adding the exponents.

Move $d$ .

$5 (d \cdot d) + d \cdot - 4 - 1 (5 d) - 1 \cdot - 4$

Multiply $d$ by $d$ .

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

Move $- 4$ to the left of $d$ .

$5 d^{2} - 4 \cdot d - 1 (5 d) - 1 \cdot - 4$

Multiply $5$ by $- 1$ .

$5 d^{2} - 4 d - 5 d - 1 \cdot - 4$

Multiply $- 1$ by $- 4$ .

$5 d^{2} - 4 d - 5 d + 4$

Subtract $5 d$ from $- 4 d$ .

$5 d^{2} - 9 d + 4$