When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )

So we have $\frac{6x^2+5}{y^2+4} +\frac{4x^2-2}{y^2+4} =\frac{(6x^2+5)+(4x^2-2)}{y^2+4}$

==> remove parenthesis and apply signs

$\frac{x^2+5+4x^2-2}{y^2+4}$

==> simplify numerator by combining like terms

$\frac{10x^2+3}{y^2+4}$

and we are done!

Note:

like terms are terms with the same variable and exponent

An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7

The like terms being combined here were (6x² and 4x²) and (5 and -2)

7 0

1 year ago

Read 2 more answers

You're playing a game where you defend your village from an orc invasion. There are 333 characters (elf, hobbit, or human) and 5

antiseptic1488 [7]

Answer:

8/15

Step-by-step explanation:

khan acdamy

7 0

3 years ago

A box contains 14 books & 7 pieces of dusters. Each piece of duster weighs 0.2 pounds each book weighs 1.1 pounds. The box &

Olin [163]

Answer:

1.45

Step-by-step explanation:

weight of all books= 14×1.1= 15.4

weight of all duster=7×0.2= 1.4

weight of books and duster= 15.4+1.4=16.8

weight of the empty box = 18.25-16.8=1.45

4 0

2 years ago