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How do you factor and simplify....

(x-3) (^ to the second power)-4


Sagot :

[tex]a^2-b^2=(a-b)(a+b)\\ \\(x-3)^2-4=(x-3)^2-2^2=\ \ \ \ \ \ \ \ \ \{\ \ a=x-3,\ \ b=2\ \ \ \}\\ \\\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =(x-3-2)(x-3+2)=(x-5)(x-1)[/tex]
(x-3)^2 -4
x^2-6x+9-4
x^2-6x+5
and then you can go even further and say
(x-5)(x-1)
but most teachers will probably want you to leave it in the quadratic form