Question

Find the product of (x − 5)2. (1 point) Group of answer choices x2 + 10x + 25 x2 − 10x + 25 x2 − 25 x2 + 25

Answer 1

Answer:

$x^2 - 10x + 25$

Step-by-step explanation:

Hello!

Expand the square using the Distributive Property.

Expand

• $(x - 5)^2$
• $(x - 5)(x-5)$

Distributive x - 5 to each factor

• $x(x - 5) -5 (x - 5)$
• $x^2 - 5x - 5x+25$
• $x^2 - 10x + 25$

The answer is $x^2 - 10x + 25$.

We can also use a special binomial product formula.

Formula: $(a - b)^2 = a^2 - 2ab + b^2$

• $(x - 5)^2 = x^2 - 2(x)(5) + 5^2$
• $(x - 5)^2 = x^2 - 10x + 25$

We get the same answer both ways.