25x²-16 is the difference of two squares, so can be written as the product ...
... (5x -4)(5x +4)
or
... (5x +4)(5x -4)
Answer:
[tex](5x+4)(5x-4)[/tex]
Step-by-step 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
[tex](5x)^2- 4^2[/tex]
we apply difference in square formula
a^2 - b^2 = (a+b)(a-b)
[tex](5x)^2- 4^2=(5x+4)(5x-4)[/tex]
