Question

Simplify quantity 6 x squared plus 20 end quantity over 4

Answer 1

Answer:
`(3x^2+10)/(2)`

Explanation:

Given the following expression:

`(6x^2+20)/(4)`

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:

`6=2*3\\\\20=2*2*5=2^2*5\\\\4=2*2=2^2`

- Notice that the common one with the lowest exponent is 2. Then:

`GCF=2`

2. Factor out the Greatest Common Factor on the numerator and on the denominator:

`(2(3x^2+10))/(2(2))`

3. Fianally, simplifying the expression, you get:

`(3x^2+10)/(2)`