Simplify (x+2)(x-5)

$(x + 2) (x - 5)$

Step 1

Expand $(x + 2) (x - 5)$ using the FOIL Method.

Apply the distributive property.

$x (x - 5) + 2 (x - 5)$

Apply the distributive property.

$x \cdot x + x \cdot - 5 + 2 (x - 5)$

Apply the distributive property.

$x \cdot x + x \cdot - 5 + 2 x + 2 \cdot - 5$

$x \cdot x + x \cdot - 5 + 2 x + 2 \cdot - 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

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

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

Multiply $2$ by $- 5$ .

$x^{2} - 5 x + 2 x - 10$

$x^{2} - 5 x + 2 x - 10$

Add $- 5 x$ and $2 x$ .

$x^{2} - 3 x - 10$

$x^{2} - 3 x - 10$

Related Questions