Category: Algebra
"Published in Suisun City, California, USA"
Simplify
Solution:
Consider the give equation above
After the inspection of the terms, the numerator can be factored by the difference of two cubes and the denominator can be factored by the difference of two squares as follows
Change the sign of the term at the denominator which is (2 - y) into - (y - 2) as follows
The
greatest common factor (GCF) of the numerator and denominator is (y - 2). Cross out their GCF and simplify into lowest term. Therefore, the
final answer is
Category: Algebra
"Published in Suisun City, California, USA"
Simplify
Solution:
Consider the given equation above
The first thing that we have to do is to inspect all the terms at the numerator and denominator. Let's group the first two terms at the numerator and then the next two terms at the numerator also, as follows
The first group can be factored by the difference of two squares while the other group can be factored by removal of their common factor, as follows
The common factor at the numerator is (x + y). Remove their common factor, we have
The
greatest common factor (GCF) of the numerator and denominator is (x - y + 2). Cross out their GCF and simplify into lowest term. Therefore, the
final answer is
Category: Algebra
"Published in Newark, California, USA"
Simplify
Solution:
Consider the given equation above
The first thing that we have to do is to see if the quadratic equations at the numerator and denominator can be factored or not. Since x² has coefficient on both numerator and denominator, then we have to do factoring by trial and error until we get the middle term. Let's factor the numerator and denominator as follows
The
greatest common factor (GCF) of the numerator and denominator is (2x + 3y). Cross out their GCF and simplify into lowest term. Therefore, the
final answer is
