Algebra Examples

(m + 9) (m - 3)

$(m + 9) (m - 3)$

Step 1

Expand

(m + 9) (m - 3)

$(m + 9) (m - 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

m (m - 3) + 9 (m - 3)

$m (m - 3) + 9 (m - 3)$

Step 1.2

Apply the distributive property.

m \cdot m + m \cdot - 3 + 9 (m - 3)

$m \cdot m + m \cdot - 3 + 9 (m - 3)$

Step 1.3

Apply the distributive property.

m \cdot m + m \cdot - 3 + 9 m + 9 \cdot - 3

$m \cdot m + m \cdot - 3 + 9 m + 9 \cdot - 3$

m \cdot m + m \cdot - 3 + 9 m + 9 \cdot - 3

$m \cdot m + m \cdot - 3 + 9 m + 9 \cdot - 3$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply

m

$m$ by

m

$m$ .

m^{2} + m \cdot - 3 + 9 m + 9 \cdot - 3

$m^{2} + m \cdot - 3 + 9 m + 9 \cdot - 3$

Step 2.1.2

Move

- 3

$- 3$ to the left of

m

$m$ .

m^{2} - 3 \cdot m + 9 m + 9 \cdot - 3

$m^{2} - 3 \cdot m + 9 m + 9 \cdot - 3$

Step 2.1.3

Multiply

9

$9$ by

- 3

$- 3$ .

m^{2} - 3 m + 9 m - 27

$m^{2} - 3 m + 9 m - 27$

m^{2} - 3 m + 9 m - 27

$m^{2} - 3 m + 9 m - 27$

Step 2.2

Add

- 3 m

$- 3 m$ and

9 m

$9 m$ .

m^{2} + 6 m - 27

$m^{2} + 6 m - 27$

m^{2} + 6 m - 27

$m^{2} + 6 m - 27$

(m + 9) (m - 3)

$(m + 9) (m - 3)$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$