Question

Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25

Answer 1

I hope this helps you

Answer 2

The required expression is
`4x^2-25`

Explanation:

The difference of squares formula is given by

`(a+b)(a-b)=a^2-b^2`

We have been given that one factor is 2x+5. Hence, a = 2x, b = 5

It means that other factor must be (a-b) = (2x-5)

Hence, in order to find the expression, we can multiply the factors.

`(2x+5)(2x-5)`

Using the difference of squares formula

`(2x+5)(2x-5)\\\\=(2x)^2-5^2\\\\4x^2-25`

Therefore, the required expression is
`4x^2-25`