Simplify (5+x)(5-x)

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $5$ by $5$ .

$25 + 5 (- x) + x \cdot 5 + x (- x)$

Multiply $- 1$ by $5$ .

$25 - 5 x + x \cdot 5 + x (- x)$

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

$25 - 5 x + 5 \cdot x + x (- x)$

Rewrite using the commutative property of multiplication.

$25 - 5 x + 5 x - x \cdot x$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$25 - 5 x + 5 x - (x \cdot x)$

Multiply $x$ by $x$ .

$25 - 5 x + 5 x - x^{2}$

$25 - 5 x + 5 x - x^{2}$

$25 - 5 x + 5 x - x^{2}$

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

$25 + 0 - x^{2}$

Add $25$ and $0$ .

$25 - x^{2}$

$25 - x^{2}$

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