Question

Simplify quantity 10 x squared minus 32 end quantity over 4

Answer 1

B.

Explanation:

5x^2-16/2

Answer 2

Answer:
`(5x^2-16)/(2)`

Explanation:

Given the following expression:

`(10x^2-32)/(4)`

Find the Greatest Common Factor (GCF) of the numerator. The steps to do this are:

1. You need to descompose into prime factors:

`10x^2=2*5*x^2\\\\32=2*2*2*2*2=2^5`

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:

`GCF=2`

Knowing this, you can factor out the Greatest Common Factor (GCF) in the numerator:

`=(2(5x^2-16))/(4)`

Finally, simplifying, you get:

`=(5x^2-16)/(2)`