Question

Factorize :
2 (a^2+b^2)^2+ 5ab (a^2+b^2) +2 a^2b^2

Answer 1

Answer:

(a+2b)(2a+b)

Step-by-step explanation:

2a2+5ab+2b2  [First multiply the coefficient of a^2 and coefficient of b^2 2

i.e. 2 x 2 = 4 Factorize 4 as if you multiply two numbers the product should be = 4

if you add the numbers it should be equal to 5(the coefficient of a b term) 4 x 1 =4, 4+1=5

2a2+4ab+1ab+2b2  

2 a (a + 2 b) + b (a + 2 b)

(a + 2 b) ( 2 a + b)