Question

factorize _4(x+2y)^2-9(x-2y)^2​

Answer 1

4(x+2y)2-9(x-y)2

Final result :

(5x + y) • (7y - x)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(4 • ((x + 2y)2)) - 9 • (x - y)2

Step 2 :

Equation at the end of step 2 :

4 • (x + 2y)2 - 9 • (x - y)2

Step 3 :

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

3.2 Evaluate : (x-y)2 = x2-2xy+y2

Trying to factor a multi variable polynomial :

3.3 Factoring -5x2 + 34xy + 7y2

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

Found a factorization : (5x + y)•(-x + 7y)

Final result :

(5x + y) • (7y - x)