(4a^2-4ab-b^2)+(a^2-b^2)+(2ab+a^2+b^2)

Question

Adding and subtracting polynomials

Answer 1

Add terms with the same powers in a and b

 

a^2: 4a^2 + a^2 + a^2 = 6a^2

ab: -4ab + 2ab = -2ab

b^2 : -b^2 - b^2 + b^2 = -b^2

 

therefore, the net polynomial is 6 a^2 - b^2 - 2ab