Simplify (m-3n)(m+2n)-m(m-n)

$(m - 3 n) (m + 2 n) - m (m - n)$

Simplify each term.

Expand $(m - 3 n) (m + 2 n)$ using the FOIL Method.

Apply the distributive property.

$m (m + 2 n) - 3 n (m + 2 n) - m (m - n)$

Apply the distributive property.

$m \cdot m + m (2 n) - 3 n (m + 2 n) - m (m - n)$

Apply the distributive property.

$m \cdot m + m (2 n) - 3 n m - 3 n (2 n) - m (m - n)$

Simplify and combine like terms.

Simplify each term.

Multiply $m$ by $m$ .

$m^{2} + m (2 n) - 3 n m - 3 n (2 n) - m (m - n)$

Rewrite using the commutative property of multiplication.

$m^{2} + 2 m n - 3 n m - 3 n (2 n) - m (m - n)$

Rewrite using the commutative property of multiplication.

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

Multiply $n$ by $n$ by adding the exponents.

Move $n$ .

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

Multiply $n$ by $n$ .

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

Multiply $- 3$ by $2$ .

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

Subtract $3 n m$ from $2 m n$ .

Move $n$ .

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

Subtract $3 m n$ from $2 m n$ .

$m^{2} - m n - 6 n^{2} - m (m - n)$

Apply the distributive property.

$m^{2} - m n - 6 n^{2} - m \cdot m - m (- n)$

Multiply $m$ by $m$ by adding the exponents.

Move $m$ .

$m^{2} - m n - 6 n^{2} - (m \cdot m) - m (- n)$

Multiply $m$ by $m$ .

$m^{2} - m n - 6 n^{2} - m^{2} - m (- n)$

Rewrite using the commutative property of multiplication.

$m^{2} - m n - 6 n^{2} - m^{2} - 1 \cdot - 1 m n$

Simplify each term.

Multiply $- 1$ by $- 1$ .

$m^{2} - m n - 6 n^{2} - m^{2} + 1 m n$

Multiply $m$ by $1$ .

$m^{2} - m n - 6 n^{2} - m^{2} + m n$

Combine the opposite terms in $m^{2} - m n - 6 n^{2} - m^{2} + m n$ .

Subtract $m^{2}$ from $m^{2}$ .

$- m n - 6 n^{2} + 0 + m n$

Add $- m n - 6 n^{2}$ and $0$ .

$- m n - 6 n^{2} + m n$

Add $- m n$ and $m n$ .

$- 6 n^{2} + 0$

Add $- 6 n^{2}$ and $0$ .

$- 6 n^{2}$

Simplify (m-3n)(m+2n)-m(m-n)

Related Questions

Support LCMGCF.com by disabling your adblocker.