Simplify (x+7)(x-2)

$(x + 7) (x - 2)$

Step 1

Expand $(x + 7) (x - 2)$ using the FOIL Method.

Apply the distributive property.

$x (x - 2) + 7 (x - 2)$

Apply the distributive property.

$x \cdot x + x \cdot - 2 + 7 (x - 2)$

Apply the distributive property.

$x \cdot x + x \cdot - 2 + 7 x + 7 \cdot - 2$

$x \cdot x + x \cdot - 2 + 7 x + 7 \cdot - 2$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 2 + 7 x + 7 \cdot - 2$

Move $- 2$ to the left of $x$ .

$x^{2} - 2 \cdot x + 7 x + 7 \cdot - 2$

Multiply $7$ by $- 2$ .

$x^{2} - 2 x + 7 x - 14$

$x^{2} - 2 x + 7 x - 14$

Add $- 2 x$ and $7 x$ .

$x^{2} + 5 x - 14$

$x^{2} + 5 x - 14$

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