Simplify (x-7)(x+8)

$(x - 7) (x + 8)$

Step 1

Expand $(x - 7) (x + 8)$ using the FOIL Method.

Apply the distributive property.

$x (x + 8) - 7 (x + 8)$

Apply the distributive property.

$x \cdot x + x \cdot 8 - 7 (x + 8)$

Apply the distributive property.

$x \cdot x + x \cdot 8 - 7 x - 7 \cdot 8$

$x \cdot x + x \cdot 8 - 7 x - 7 \cdot 8$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 8 - 7 x - 7 \cdot 8$

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

$x^{2} + 8 \cdot x - 7 x - 7 \cdot 8$

Multiply $- 7$ by $8$ .

$x^{2} + 8 x - 7 x - 56$

$x^{2} + 8 x - 7 x - 56$

Subtract $7 x$ from $8 x$ .

$x^{2} + x - 56$

$x^{2} + x - 56$

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