Simplify (4-(3c-1))(6-(3c-1))

$(4 - (3 c - 1)) (6 - (3 c - 1))$

Step 1

Simplify terms.

Simplify each term.

Apply the distributive property.

$(4 - (3 c) - - 1) (6 - (3 c - 1))$

Multiply $3$ by $- 1$ .

$(4 - 3 c - - 1) (6 - (3 c - 1))$

Multiply $- 1$ by $- 1$ .

$(4 - 3 c + 1) (6 - (3 c - 1))$

Add $4$ and $1$ .

$(- 3 c + 5) (6 - (3 c - 1))$

Simplify each term.

Apply the distributive property.

$(- 3 c + 5) (6 - (3 c) - - 1)$

Multiply $3$ by $- 1$ .

$(- 3 c + 5) (6 - 3 c - - 1)$

Multiply $- 1$ by $- 1$ .

$(- 3 c + 5) (6 - 3 c + 1)$

Add $6$ and $1$ .

$(- 3 c + 5) (- 3 c + 7)$

Step 2

Expand $(- 3 c + 5) (- 3 c + 7)$ using the FOIL Method.

Apply the distributive property.

$- 3 c (- 3 c + 7) + 5 (- 3 c + 7)$

Apply the distributive property.

$- 3 c (- 3 c) - 3 c \cdot 7 + 5 (- 3 c + 7)$

Apply the distributive property.

$- 3 c (- 3 c) - 3 c \cdot 7 + 5 (- 3 c) + 5 \cdot 7$

Step 3

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$- 3 \cdot - 3 c \cdot c - 3 c \cdot 7 + 5 (- 3 c) + 5 \cdot 7$

Multiply $c$ by $c$ by adding the exponents.

Move $c$ .

$- 3 \cdot - 3 (c \cdot c) - 3 c \cdot 7 + 5 (- 3 c) + 5 \cdot 7$

Multiply $c$ by $c$ .

$- 3 \cdot - 3 c^{2} - 3 c \cdot 7 + 5 (- 3 c) + 5 \cdot 7$

Multiply $- 3$ by $- 3$ .

$9 c^{2} - 3 c \cdot 7 + 5 (- 3 c) + 5 \cdot 7$

Multiply $7$ by $- 3$ .

$9 c^{2} - 21 c + 5 (- 3 c) + 5 \cdot 7$

Multiply $- 3$ by $5$ .

$9 c^{2} - 21 c - 15 c + 5 \cdot 7$

Multiply $5$ by $7$ .

$9 c^{2} - 21 c - 15 c + 35$

Subtract $15 c$ from $- 21 c$ .

$9 c^{2} - 36 c + 35$

Simplify (4-(3c-1))(6-(3c-1))

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