Question

Wich product is equivalent to 25x2 -16

Answer 1

`(5x+4)(5x-4)`

Explanation:

25x^2- 16

To find out the product that is equivalent to the given expression we need to factor the given expression

we write the numbers in square form

25 = 5*5 = 5^2

16 = 4*4 = 4^2

5^2x^2 - 4^2

`(5x)^2- 4^2`

we apply difference in square formula

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

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

Answer 2

25x²-16 is the difference of two squares, so can be written as the product ...

... (5x -4)(5x +4)

or

... (5x +4)(5x -4)