The factored form of an equation is done by rewriting the equation in simpler forms.
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[/tex]
[tex]8x^2 - 50 = 2(4x^2-25)[/tex]
Express 25 as 5^2
[tex]8x^2 - 50 = 2(4x^2-5^2)[/tex]
Express 4 as 2^2
[tex]8x^2 - 50 = 2(2^2x^2-5^2)[/tex]
Rewrite the expression as:
[tex]8x^2 - 50 = 2((2x)^2-5^2)[/tex]
Express the expression as a difference of two squares
[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]
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