Question

Which will result in a difference of squares?

(-7x + 4)(-7x+4)
(-7x + 4)(4 – 7x)
(-7x + 4)(-7x-4)
(-7x + 4)(7x - 4)
SH

Answer 1

Option C) is correct

That is the result should be in a difference of squares is

`(-7x+4)(-7x-4)=(7x)^2-4^2`

Explanation:

To find the result in the form of differences in squares

Given that the expression is (-7x+4)(-7x-4)

`(-7x+4)(-7x-4)=(-7x)^2-4^2` ( by using the identity
`(a+b)(a-b)=a^2-b^2` )

Here a=-7x and b=4

`=(7x)^2-4^2`

Therefore
`(-7x+4)(-7x-4)=(7x)^2-4^2` which results as a difference of squares.

Therefore Option C) is correct

That is the result should be in a difference of squares is

`(-7x+4)(-7x-4)=(7x)^2-4^2`