Simplify (a-5)^2

${(a - 5)}^{2}$

Step 1

Rewrite ${(a - 5)}^{2}$ as $(a - 5) (a - 5)$ .

$(a - 5) (a - 5)$

Step 2

Expand $(a - 5) (a - 5)$ using the FOIL Method.

Apply the distributive property.

$a (a - 5) - 5 (a - 5)$

Apply the distributive property.

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

Apply the distributive property.

$a \cdot a + a \cdot - 5 - 5 a - 5 \cdot - 5$

$a \cdot a + a \cdot - 5 - 5 a - 5 \cdot - 5$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $a$ by $a$ .

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

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

$a^{2} - 5 \cdot a - 5 a - 5 \cdot - 5$

Multiply $- 5$ by $- 5$ .

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

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

Subtract $5 a$ from $- 5 a$ .

$a^{2} - 10 a + 25$

$a^{2} - 10 a + 25$

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