Answer: [tex]\frac{5x^2-16}{2}[/tex]
Step-by-step explanation:
Given the following expression:
[tex]\frac{10x^2-32}{4}[/tex]
Find the Greatest Common Factor (GCF) of the numerator. The steps to do this are:
1. You need to descompose into prime factors:
[tex]10x^2=2*5*x^2\\\\32=2*2*2*2*2=2^5[/tex]
2. Now you must choose the common ones with the lowest exponents and multiply them. In this case the common one is 2 and its lowest exponent is 1, then:
[tex]GCF=2[/tex]
Knowing this, you can factor out the Greatest Common Factor (GCF) in the numerator:
[tex]=\frac{2(5x^2-16)}{4}[/tex]
Finally, simplifying, you get:
[tex]=\frac{5x^2-16}{2}[/tex]
