(6a^2-15a)/(6a-15a^2)
(3a(2a-5))/(3a(2-5a))
Multiply top & bottom by -1
-(5-2a)/(5a-2)
is that correct? I have an answer here that's -(2a-5)/(5a-2) but I don't understand how to get there...
Thanks :)
Normally, in a polynomial, we write the polynomials in decending powers of the variable.. as in a^3+3a^2 + 6a + 10
so to do that,
Your work: 6a^2-15a)/(6a-15a^2)
Your work: (3a(2a-5))/(3a(2-5a))
Multiply top & bottom by -1 and this is where your made your error.
-(2a-5)/(5a-2)
I have looked at this for 2 days & not understood but I think I get it...
so you multiplied the top & bottom by -1 which made the top 5-2a but then you factored out the negative making it -(2a-5)/(5a-2)
is that correct?
Thank you so much for your help :)
To simplify the expression (6a^2-15a)/(6a-15a^2), we can factor out the common terms in the numerator and the denominator.
First, notice that both the numerator and denominator have a common factor of 3a. We can factor out 3a from both terms in the numerator and denominator:
3a(2a - 5)/(3a(6 - 5a))
Next, we can cancel out the common factors of 3a in the numerator and denominator:
(2a - 5)/(6 - 5a)
So far, you have correctly simplified the expression to (2a - 5)/(6 - 5a).
However, the answer that you have -(2a - 5)/(5a - 2) is also correct, but in a different form.
To convert the expression (2a - 5)/(6 - 5a) to -(2a - 5)/(5a - 2), you can multiply the numerator and denominator by -1:
(2a - 5)/(6 - 5a) * (-1)/(-1) = -(2a - 5)/(-6 + 5a)
Now, rearrange the terms in the denominator:
-(2a - 5)/(5a - 2)
So, both -(2a - 5)/(5a - 2) and (2a - 5)/(6 - 5a) represent the simplified form of the given expression.