Question

Factor the expression below.

x2– 10x+ 25
A(x - 5)(x - 5)
B. (x - 5)(x + 5)
C.5(x²-x+5)
D. (x + 5)(x+5)

Answer 1

A. (x-5)(x-5)

Explanation:

We need to factor x^2-10x+25 into the form (x+y)(x+y) where 2y=-10 and y^2=25

2y=-10

y=-5

So this becomes (x-5)(x-5)

Hope this helped!

Answer 2

A.(x - 5)(x - 5)

Explanation:

Writing the equation in the form of quadratic equation:

`x^2-10x+25`=0

To make factors from the given equation, we splits the equation to make the factors by taking the common from it.

Splitting the equation to make it able to take common form it

`x^2-5x-5x+25`
`=0`

`x(x-5)-5(x-5)=0`

`(x-5)(x-5)=0\\x=5,5`

So, (x-5)(x-5) is the factor of the given equation which gives x=1 ,1.