Simplify (x+9)(x+5)

$(x + 9) (x + 5)$

Step 1

Expand $(x + 9) (x + 5)$ using the FOIL Method.

Apply the distributive property.

$x (x + 5) + 9 (x + 5)$

Apply the distributive property.

$x \cdot x + x \cdot 5 + 9 (x + 5)$

Apply the distributive property.

$x \cdot x + x \cdot 5 + 9 x + 9 \cdot 5$

$x \cdot x + x \cdot 5 + 9 x + 9 \cdot 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 5 + 9 x + 9 \cdot 5$

Move $5$ to the left of $x$ .

$x^{2} + 5 \cdot x + 9 x + 9 \cdot 5$

Multiply $9$ by $5$ .

$x^{2} + 5 x + 9 x + 45$

$x^{2} + 5 x + 9 x + 45$

Add $5 x$ and $9 x$ .

$x^{2} + 14 x + 45$

$x^{2} + 14 x + 45$

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