Question

factorize:9x^2-4(y+2x)^2​

Answer 1

Answer:

refers from attachment...

Answer 2

Answer:

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (9 • (x2)) -  4 • (2x + y)2

Step  2  :

Equation at the end of step  2  :

 32x2 -  4 • (2x + y)2

Step  3  :

3.1     Evaluate :  (2x+y)2   =    4x2+4xy+y2  

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -7x2 - 16xy - 4y2  =   -1 • (7x2 + 16xy + 4y2)  

Trying to factor a multi variable polynomial :

4.2    Factoring    7x2 + 16xy + 4y2  

Try to factor this multi-variable trinomial using trial and error  

Found a factorization  :  (7x + 2y)•(x + 2y)

Final result :

 (-7x - 2y) • (x + 2y)