Add. Simplify your answer.

Step-by-step explanation:

Add the ones with like terms.

which means the ones with things in common.

4/5x^2 + 1/4x^2 i'm adding this first because we have x^2 on both sides.

(4/5 + 1/4)x^2

= (5+16/20)x^2

= (21/20)x^2

the next terms are those with x as common.

(1/4 +- 1/5)x...take the sign into consideration while dealing with the terms within the equations.

=(1/4 - 1/5)x

=(5 - 4/ 20)x

= (1/20)x

= (1 × x) / 20

= x/20.

last ones are the constant terms(numbers)

1/6 + 2/3

=12 + 3 / 18

= 15/18...we can simplify this one as well.

= 5 × 3 / 6 × 3

= 5/6.

Now write all the results as a one equation.

descending order starting from the highest degree which is 6/5x^2 --> 1/20x ---> 5/6.

21/20x^2 + x/20+ 5/6.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

explanation:

step-by-step explanation: