Basic Math Examples

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

Step 1

Simplify $(m + 4) (m - 1)$ .

Tap for more steps...

Step 1.1

Rewrite.

$0 + 0 + (m + 4) (m - 1) = {(m + 1)}^{2}$

Step 1.2

Simplify by adding zeros.

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

Step 1.3

Expand $(m + 4) (m - 1)$ using the FOIL Method.

Tap for more steps...

Step 1.3.1

Apply the distributive property.

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

Step 1.3.2

Apply the distributive property.

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

Step 1.3.3

Apply the distributive property.

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

Step 1.4

Simplify and combine like terms.

Tap for more steps...

Step 1.4.1

Simplify each term.

Tap for more steps...

Step 1.4.1.1

Multiply $m$ by $m$ .

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

Step 1.4.1.2

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

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

Step 1.4.1.3

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

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

Step 1.4.1.4

Multiply $4$ by $- 1$ .

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

Step 1.4.2

Add $- m$ and $4 m$ .

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

Step 2

Simplify ${(m + 1)}^{2}$ .

Tap for more steps...

Step 2.1

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

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

Step 2.2

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

Tap for more steps...

Step 2.2.1

Apply the distributive property.

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

Step 2.2.2

Apply the distributive property.

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

Step 2.2.3

Apply the distributive property.

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

Step 2.3

Simplify and combine like terms.

Tap for more steps...

Step 2.3.1

Simplify each term.

Tap for more steps...

Step 2.3.1.1

Multiply $m$ by $m$ .

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

Step 2.3.1.2

Multiply $m$ by $1$ .

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

Step 2.3.1.3

Multiply $m$ by $1$ .

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

Step 2.3.1.4

Multiply $1$ by $1$ .

$m^{2} + 3 m - 4 = m^{2} + m + m + 1$

Step 2.3.2

Add $m$ and $m$ .

$m^{2} + 3 m - 4 = m^{2} + 2 m + 1$

Step 3

Move all terms containing $m$ to the left side of the equation.

Tap for more steps...

Step 3.1

Subtract $m^{2}$ from both sides of the equation.

$m^{2} + 3 m - 4 - m^{2} = 2 m + 1$

Step 3.2

Subtract $2 m$ from both sides of the equation.

$m^{2} + 3 m - 4 - m^{2} - 2 m = 1$

Step 3.3

Combine the opposite terms in $m^{2} + 3 m - 4 - m^{2} - 2 m$ .

Tap for more steps...

Step 3.3.1

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

$3 m - 4 + 0 - 2 m = 1$

Step 3.3.2

Add $3 m - 4$ and $0$ .

$3 m - 4 - 2 m = 1$

Step 3.4

Subtract $2 m$ from $3 m$ .

$m - 4 = 1$

Step 4

Move all terms not containing $m$ to the right side of the equation.

Tap for more steps...

Step 4.1

Add $4$ to both sides of the equation.

$m = 1 + 4$

Step 4.2

Add $1$ and $4$ .

$m = 5$