Question

Find the product of (x + 5)(x - 5). x2 - 10x + 25 x2 + 10x + 25 x2 - 25 x2 + 25

Answer 1

Answer:

x²-25

Step-by-step explanation:

Hi there!

We are given (x+5)(x-5) and we want to find their product.

As these are binomials, we can multiply them using FOIL, which is First, Outer, Inner, Last

So let's start with the firsts, which would be (x+5)(x-5), or the 2 x's; x*x=x²

Next, let's do the outers, which would be (x+5)(x-5); x * -5 = -5x

Now the inners; (x+5)(x-5); 5 * x = 5x
Finally, the lasts; (x+5)(x-5); 5 * -5 = -25

Now add all of these terms together:

x²-5x+5x-25

We can combine the 5x and -5x together to become x²-25

So the answer is x²-25, which is a difference of squares expression (if we have (a-b)(a+b), then the result is a²-b²).

Hope this helps! :)

See more on the difference of squares here: brainly.com/question/16085851