Rational Expressions.
1.) 2x^2-8x 8x^2
_______ / ____
x^2-16 (x+4)^2
Solution: x+4
___
x
Is this correct?
Sorry that came out a bit messier than I had intended. It should read 2x squared minus 8x over x squared minus 16, divided by 8x squared over (x+4)squared.
Spaces can't be handled on the board. The best way to write a problem is to use parentheses. For example,
x-2 divided by 3 + 4 divided by x and the 4 divided by x is squared.
[(x-2)/3] + (4/x)^2 = etc.
Haha thanks, I learned the hard way but now I know.
To determine if the solution provided is correct, we need to simplify the rational expression.
To simplify the expression, we can start by factoring the numerator and denominator.
Numerator: 2x^2 - 8x
Factor out 2x: 2x(x - 4)
Denominator: x^2 - 16
This is the difference of squares, so we can factor it as (x + 4)(x - 4).
Now, let's rewrite the original expression:
2x(x - 4)
____________
(x + 4)(x - 4)
Notice that the (x - 4) in the numerator cancels out with one of the (x - 4) in the denominator, leaving us with:
2x
______
x + 4
So, the simplified form of the rational expression is 2x/(x + 4), which is not the same as the provided solution of (x + 4)/x.
Therefore, the solution provided is incorrect.