x^2+9xy+20y^2/x^2+5xy
(x+4y)(x+5y)/(x))x+5y)
i cancel off x+5y's
(x+4y)/(x) that be the anser?
ignoring your rather casual use of parentheses, yes that is the answer.
thanks steve :) and sorry abt that
To simplify the expression (x^2+9xy+20y^2)/(x^2+5xy), you can factor both the numerator and the denominator and then cancel out the common terms.
Step 1: Factor the numerator and denominator separately.
The numerator can be factored as (x+4y)(x+5y).
The denominator can be factored as (x)(x+5y).
Step 2: Cancel out the common term, which is (x+5y).
(x+4y)(x+5y)/(x)(x+5y)
Since (x+5y) appears in both the numerator and the denominator, you can cancel it out.
After canceling out (x+5y), the simplified expression becomes:
(x+4y)/(x)
So yes, your answer, (x+4y)/(x), is correct.