Question

4(x-y)^2-16(x+3)^2 factorise​

Answer 1

Answer:

Final result :

-4 • (x - 3y) • (3x - y)

Step-by-step explanation:

STEP1:Equation at the end of step 1

(4 • ((x + y)2)) - 16 • (x - y)2

STEP2:Equation at the end of step 2

4 • (x + y)2 - 16 • (x - y)2

STEP3:

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

STEP4:Pulling out like terms

 4.1     Pull out like factors :

   -12x2 + 40xy - 12y2  =   -4 • (3x2 - 10xy + 3y2) 

Trying to factor a multi variable polynomial :

 4.2    Factoring    3x2 - 10xy + 3y2 

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

 Found a factorization  :  (x - 3y)•(3x - y)

Final result :

-4 • (x - 3y) • (3x - y)

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