Question

Simplify quantity 10 x squared minus 32 end quantity over 4

Answer 1

Answer:  $\frac{5x^2-16}{2}$

Step-by-step explanation:

Given the following expression:

$\frac{10x^2-32}{4}$

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:

$=\frac{2(5x^2-16)}{4}$

Finally, simplifying, you get:

$=\frac{5x^2-16}{2}$