Question

(a^-1+b^-1)+(a^-2-b^-2)
simplify it please​

Answer 1

Answer:

1/a^3 + b^3 (see answer picture)

Step-by-step explanation:

Step 1:

Because of the commutative and associative properties you can take away the parenthases (see picture for step 1)

Step 2:

Because a^2 + a^2 = a^2+2 you can have a^-1+(-2) + b^-1+(-2) (see picture for step 2)

Step 3:

Now you solve what you did in step 2. You have a^-3 + b^-3 (see picture for step 3)

Step 4:

Because a^-n = 1/a^n you can have 1/a^3 + 1/b^3. Now you can simplify that to 1/a^3+b^3. (see picture for step 4)

That's you answer! I hope this helps you solve this problem, and future problems.