Simplify (x+6)(x+9)

$(x + 6) (x + 9)$

Step 1

Expand $(x + 6) (x + 9)$ using the FOIL Method.

Apply the distributive property.

$x (x + 9) + 6 (x + 9)$

Apply the distributive property.

$x \cdot x + x \cdot 9 + 6 (x + 9)$

Apply the distributive property.

$x \cdot x + x \cdot 9 + 6 x + 6 \cdot 9$

$x \cdot x + x \cdot 9 + 6 x + 6 \cdot 9$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 9 + 6 x + 6 \cdot 9$

Move $9$ to the left of $x$ .

$x^{2} + 9 \cdot x + 6 x + 6 \cdot 9$

Multiply $6$ by $9$ .

$x^{2} + 9 x + 6 x + 54$

$x^{2} + 9 x + 6 x + 54$

Add $9 x$ and $6 x$ .

$x^{2} + 15 x + 54$

$x^{2} + 15 x + 54$

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