Question

Factorise x^2-4ax+4a^2-b^2
By using quadratic formula or mid-term splitting

Answer 1

Answer:

(x-2a+b)(x-2a-b)

Step-by-step explanation:

=x2 - 4ax + 4a2 - b2

=x2 - 2ax - 2ax +4a2 - b2

=x(x-2a)-2a(x-2a)-b2

=(x-2a)(x-2a)-b2

since (a-b)2 = (a-b)(a-b)

= (x-2a)2 -b2

=(x-2a+b)(x-2a-b)