Question

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

Answer 1

First I will tell you the formula for this, then I will show how we got the formula, then the answer.

Formula -> (x+a)(x-a)=x^2-a^2

We can find this by expanding the 2 ( )

(x+a)(x-a)=x^2+ax-ax-a^2=x^2-a^2

Now we can use this to solve your problem, the 5 is the a in the formula.

(x+5)(x-5)=x^2-5^2=x^2-25. Therefore choosing the 3rd answer choice.