Simplify (x+3)(x-8)

$(x + 3) (x - 8)$

Step 1

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

Apply the distributive property.

$x (x - 8) + 3 (x - 8)$

Apply the distributive property.

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

Apply the distributive property.

$x \cdot x + x \cdot - 8 + 3 x + 3 \cdot - 8$

$x \cdot x + x \cdot - 8 + 3 x + 3 \cdot - 8$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 8 + 3 x + 3 \cdot - 8$

Move $- 8$ to the left of $x$ .

$x^{2} - 8 \cdot x + 3 x + 3 \cdot - 8$

Multiply $3$ by $- 8$ .

$x^{2} - 8 x + 3 x - 24$

$x^{2} - 8 x + 3 x - 24$

Add $- 8 x$ and $3 x$ .

$x^{2} - 5 x - 24$

$x^{2} - 5 x - 24$

Related Questions