Question

Simplify quantity 6 x squared plus 20 end quantity over 4

Answer 1

Option B

quantity 3x squared plus 10 end quantity over 2

Solution:

Given that quantity 6x squared plus 20 end quantity over 4

To find: simplify the given sentence

quantity 6x squared plus 20 end quantity over 4 means that $6x^2$ plus 20 over 4

Here the term "over" represents division

So the quantity 6x squared plus 20 end quantity over 4 is written mathematically as:

$\rightarrow \frac{6x^2 + 20}{4}$

Let us simplify the above expression

Taking 2 as common term,

$\rightarrow \frac{6x^2 + 20}{4} = \frac{2(3x^2 + 10)}{4}\\\\\rightarrow \frac{3x^2 + 10}{2}$

Thus the above expression is written as:

quantity 3x squared plus 10 end quantity over 2