Simplify (x+8)(y+3)

$(x + 8) (y + 3)$

Step 1

Expand $(x + 8) (y + 3)$ using the FOIL Method.

Apply the distributive property.

$x (y + 3) + 8 (y + 3)$

Apply the distributive property.

$x y + x \cdot 3 + 8 (y + 3)$

Apply the distributive property.

$x y + x \cdot 3 + 8 y + 8 \cdot 3$

$x y + x \cdot 3 + 8 y + 8 \cdot 3$

Step 2

Simplify each term.

Move $3$ to the left of $x$ .

$x y + 3 \cdot x + 8 y + 8 \cdot 3$

Multiply $8$ by $3$ .

$x y + 3 x + 8 y + 24$

$x y + 3 x + 8 y + 24$

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