Question

因式分解(2a+b)^2-2(4a^2-b^2)+(2a-b)^2

Answer 1

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

=[(2a+b) -(2a-b)]^2 = 4b^2