Question

factorise 25(x+y)^2-243(x-y)^2
please tell quickly​

Answer 1

Answer:

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

Final result :

(3x - 7y) • (7x - 3y)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(25 • ((x - y)2)) - 4 • (x + y)2

Step 2 :

Equation at the end of step 2:

25 • (x - y)2 - 4 • (x + y)2

Step 3 :

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

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

Trying to factor a multi variable polynomial :

3.3 Factoring 21x2 - 58xy + 21y2

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

Found a factorization : (3x - 7y)•(7x - 3y)

Final result;

(3x - 7y) • (7x - 3y)