Answer: [tex]\frac{3x^2+10}{2}[/tex]
Step-by-step explanation:
Given the following expression:
[tex]\frac{6x^2+20}{4}[/tex]
Follow these steps in order to simplify it:
1. You need to find the Greatest Common Factor (GCF) of the numerator and denominator:
- Descompose 6, 20 and 4 into their prime factors:
[tex]6=2*3\\\\20=2*2*5=2^2*5\\\\4=2*2=2^2[/tex]
- Notice that the common one with the lowest exponent is 2. Then:
[tex]GCF=2[/tex]
2. Factor out the Greatest Common Factor on the numerator and on the denominator:
[tex]\frac{2(3x^2+10)}{2(2)}[/tex]
3. Fianally, simplifying the expression, you get:
[tex]\frac{3x^2+10}{2}[/tex]
