Question

Help! Explain please I need to know I have a test tomorrow!

Answer 1

hey there!

The given expression is
`25x^(2)-49y^(2)`

This can be written as
`(5x)^(2)-(7y)^(2)`

This is in the form of
`a^(2)-b^(2)`

This can be written in form of (a+b)(a-b)

So now our answer is (5x-7y)(5x+7y)

Hope it helps you dear!
Have a good day <3

Answer 2

given:

`25 {x}^(2) - 49 {y}^(2)`

solution:

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

`a = 5x`

`b = 7y`

`25 {x}^(2) - 49 {y}^(2)`

`= (5x - 7y) {}^(2)`

`= (5x - 7y)(5x + 7y)`

hence, the correct answer is option B