Answer:
2(2x-5)(2x+5)
Step-by-step explanation:
I think you meant to say 8x^2-50. If so then factoring this down should be easy. Since there is no x value in the middle the equation will have a positive and a negative number. This is also a perfect square therefore, this factors down to: 2(2x-5)(2x+5).
The completely factored form of [tex]8x^2 - 50[/tex] is [tex]2(2x - 5)(2x + 5)[/tex]
The expression is given as:
[tex]8x^2 - 50[/tex]
Factor out 2 from the expression
[tex]8x^2 - 50 = 2(4x^2 - 25)[/tex]
Express 4 as 2^2
[tex]8x^2 - 50 = 2(2^2x^2 - 25)[/tex]
Rewrite properly as:
[tex]8x^2 - 50 = 2((2x)^2 - 25)[/tex]
Express 25 as 5^2
[tex]8x^2 - 50 = 2((2x)^2 - 5^2)[/tex]
Apply the difference of two squares to factorize the expression
[tex]8x^2 - 50 = 2(2x - 5)(2x + 5)[/tex]
Hence, the completely factored form of [tex]8x^2 - 50[/tex] is [tex]2(2x - 5)(2x + 5)[/tex]
Read more about factorizing at:
https://brainly.com/question/9030574
