Question

factorise (3a+4b)^2-(4b+5b)^2​

Answer 1

Answer:  (a + b) (7a + 9b)

Step-by-step explanation: Step  1  :

1.1     Evaluate :  (4a+5b)2   =    16a2+40ab+25b2  

1.2     Evaluate :  (3a+4b)2   =    9a2+24ab+16b2  

Trying to factor a multi variable polynomial :

1.3    Factoring    7a2 + 16ab + 9b2  

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

Found a factorization  :  (a + b)•(7a + 9b)

Final result :

 (a + b) • (7a + 9b)

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