Question

please help fatorise this by usiing identity (a+b+2c)^2-(a-b+c)^2

Answer 1

Answer:

3c2+4ab+6bc+2ca

Step-by-step explanation:

Identity to use:(x+y+z)^2=x2+y2+z2+2xy+2yz+2zx

(a+b+2c)^2-(a-b+c)^2

=(a2+b2+4c2+2ab+4bc+4ca)-(a2+b2+c2-2ac-2bc+2ca)

=(a2+b2+4c2+2ab+4bc+4ca)-a2-b2-c2+2ab+2bc-2ca

=3c2+4ab+6bc+2ca