Factor 3(m-1)-4(m-1)^2+3(m-1)^3

$3 (m - 1) - 4 {(m - 1)}^{2} + 3 {(m - 1)}^{3}$

Factor $m - 1$ out of $3 (m - 1) - 4 {(m - 1)}^{2} + 3 {(m - 1)}^{3}$ .

Tap for more steps…

Factor $m - 1$ out of $3 (m - 1)$ .

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

Factor $m - 1$ out of $- 4 {(m - 1)}^{2}$ .

$(m - 1) \cdot 3 + (m - 1) (- 4 (m - 1)) + 3 {(m - 1)}^{3}$

Factor $m - 1$ out of $3 {(m - 1)}^{3}$ .

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

Factor $m - 1$ out of $(m - 1) \cdot 3 + (m - 1) (- 4 (m - 1))$ .

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

Factor $m - 1$ out of $(m - 1) \cdot (3 - 4 (m - 1)) + (m - 1) (3 {(m - 1)}^{2})$ .

$(m - 1) (3 - 4 (m - 1) + 3 {(m - 1)}^{2})$

Apply the distributive property.

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

Multiply $- 4$ by $- 1$ .

$(m - 1) (3 - 4 m + 4 + 3 {(m - 1)}^{2})$

Rewrite ${(m - 1)}^{2}$ as $(m - 1) (m - 1)$ .

$(m - 1) (3 - 4 m + 4 + 3 ((m - 1) (m - 1)))$

Expand $(m - 1) (m - 1)$ using the FOIL Method.

Tap for more steps…

Apply the distributive property.

$(m - 1) (3 - 4 m + 4 + 3 (m (m - 1) - 1 (m - 1)))$

Apply the distributive property.

$(m - 1) (3 - 4 m + 4 + 3 (m \cdot m + m \cdot - 1 - 1 (m - 1)))$

Apply the distributive property.

$(m - 1) (3 - 4 m + 4 + 3 (m \cdot m + m \cdot - 1 - 1 m - 1 \cdot - 1))$

Simplify and combine like terms.

Tap for more steps…

Simplify each term.

Tap for more steps…

Multiply $m$ by $m$ .

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

Move $- 1$ to the left of $m$ .

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

Rewrite $- 1 m$ as $- m$ .

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

Rewrite $- 1 m$ as $- m$ .

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

Multiply $- 1$ by $- 1$ .

$(m - 1) (3 - 4 m + 4 + 3 (m^{2} - m - m + 1))$

Subtract $m$ from $- m$ .

$(m - 1) (3 - 4 m + 4 + 3 (m^{2} - 2 m + 1))$

Apply the distributive property.

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

Simplify.

Tap for more steps…

Multiply $- 2$ by $3$ .

$(m - 1) (3 - 4 m + 4 + 3 m^{2} - 6 m + 3 \cdot 1)$

Multiply $3$ by $1$ .

$(m - 1) (3 - 4 m + 4 + 3 m^{2} - 6 m + 3)$

Add $3$ and $4$ .

$(m - 1) (- 4 m + 7 + 3 m^{2} - 6 m + 3)$

Subtract $6 m$ from $- 4 m$ .

$(m - 1) (- 10 m + 7 + 3 m^{2} + 3)$

Add $7$ and $3$ .

$(m - 1) (- 10 m + 3 m^{2} + 10)$

Reorder terms.

$(m - 1) (3 m^{2} - 10 m + 10)$

Factor 3(m-1)-4(m-1)^2+3(m-1)^3

Solving MATH problems