Question

WORTH 24 POINTS* perform the specified operations on the polynomials:

subract the sum of a^2-2ab+b^2 and 2a^2+2ab+b^2 from the sum of a^2 -b^2 and a^2 +ab+3b^2

Answer 1

Explanation:

To subtract the sum of a^2 - 2ab + b^2 and 2a^2 + 2ab + b^2 from the sum of a^2 - b^2 and a^2 + ab + 3b^2, you can follow these steps:

First, subtract a^2 - 2ab + b^2 and 2a^2 + 2ab + b^2 from the sum of a^2 - b^2 and a^2 + ab + 3b^2. This gives you (a^2 - b^2) + (a^2 + ab + 3b^2) - (a^2 - 2ab + b^2) - (2a^2 + 2ab + b^2).

Simplify the expression by combining like terms. This gives you 2a^2 - 3b^2 - 2ab.

Simplify the expression further by combining the remaining like terms. This gives you the final result of a^2 - 3b^2 - 2ab.