Question

Ayudenme a factorizar esto
X2+2xy+y2-a2-2ab-b2 y. 25x2+60xy+36y2-4a2-12ab-9b2

Answer 1

resolución
1) x^2+2xy+y^2 - (a^2+2ab+b^2)
  =  (x+y)^2 -(a+b)^2
= (x+y+a+b)(x+y-a-b)

(25x^2+60xy+36y^2) - (4a^2+12ab+9b^2)
=(5x+6y)(5x+6y) - (2a+3b)(2a+3b)
=(5x+6y)^2 - (2a+3b)^2
=(5x+6y+2a+3b)(5x+6y-2a-3b)