Question

Find the product of (x − 5)2.

x2 + 10x + 25
x2 − 10x + 25
x2 − 25
x2 + 25

Answer 1

`{x}^(2) - 10x + 25`

Explanation:

How can we solve this?

For this problem, we can break the equation into (x - 5) use FOIL. First, Outer, Inner, Last.

(x - 5) (x - 5)

First, multiply the two Xs together.

X * X =

`{x}^(2)`

Now, the outer numbers and values.

X * -5 =

`- 5x`

Then, it's the inner numbers and values.

-5 * x =

`- 5x`

Finally, multiply the last numbers.

-5 * -5 =

`25`

Now that we have multiplied all of the values, we can put the answers from FOIL together.

`{x}^(2) - 5x - 5x + 25`

Now, add any like terms.

`- 5x - 5x = - 10x`

The answer is

`{x}^(2) - 10x + 25`

Answer 2

X2-10x+25 is the answer because written out it is (x-5)(x-5) in which you’ll use FOIL to solve