Simplify (x-5)(x+6)

$(x - 5) (x + 6)$

Step 1

Expand $(x - 5) (x + 6)$ using the FOIL Method.

Apply the distributive property.

$x (x + 6) - 5 (x + 6)$

Apply the distributive property.

$x \cdot x + x \cdot 6 - 5 (x + 6)$

Apply the distributive property.

$x \cdot x + x \cdot 6 - 5 x - 5 \cdot 6$

$x \cdot x + x \cdot 6 - 5 x - 5 \cdot 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 6 - 5 x - 5 \cdot 6$

Move $6$ to the left of $x$ .

$x^{2} + 6 \cdot x - 5 x - 5 \cdot 6$

Multiply $- 5$ by $6$ .

$x^{2} + 6 x - 5 x - 30$

$x^{2} + 6 x - 5 x - 30$

Subtract $5 x$ from $6 x$ .

$x^{2} + x - 30$

$x^{2} + x - 30$

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