Algebra Examples

$7 m^{2} + (2 m - 1) (m + 9)$

Step 1

Simplify each term.

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Step 1.1

Expand $(2 m - 1) (m + 9)$ using the FOIL Method.

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Step 1.1.1

Apply the distributive property.

$7 m^{2} + 2 m (m + 9) - 1 (m + 9)$

Step 1.1.2

Apply the distributive property.

$7 m^{2} + 2 m \cdot m + 2 m \cdot 9 - 1 (m + 9)$

Step 1.1.3

Apply the distributive property.

$7 m^{2} + 2 m \cdot m + 2 m \cdot 9 - 1 m - 1 \cdot 9$

Step 1.2

Simplify and combine like terms.

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Step 1.2.1

Simplify each term.

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Step 1.2.1.1

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

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Step 1.2.1.1.1

Move $m$ .

$7 m^{2} + 2 (m \cdot m) + 2 m \cdot 9 - 1 m - 1 \cdot 9$

Step 1.2.1.1.2

Multiply $m$ by $m$ .

$7 m^{2} + 2 m^{2} + 2 m \cdot 9 - 1 m - 1 \cdot 9$

Step 1.2.1.2

Multiply $9$ by $2$ .

$7 m^{2} + 2 m^{2} + 18 m - 1 m - 1 \cdot 9$

Step 1.2.1.3

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

$7 m^{2} + 2 m^{2} + 18 m - m - 1 \cdot 9$

Step 1.2.1.4

Multiply $- 1$ by $9$ .

$7 m^{2} + 2 m^{2} + 18 m - m - 9$

Step 1.2.2

Subtract $m$ from $18 m$ .

$7 m^{2} + 2 m^{2} + 17 m - 9$

Step 2

Add $7 m^{2}$ and $2 m^{2}$ .

$9 m^{2} + 17 m - 9$