Question

5. Is it possible to factorise: 8(x - y)2 - 50(2x + y)2. plz solve urgently question no. 5​

Answer 1

8(x-y)2-50(2x+y)2

Final result :

-6 • (4x + y) • (8x + 7y)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(8 • ((x - y)2)) - 50 • (2x + y)2

Step 2 :

Equation at the end of step 2 :

8 • (x - y)2 - 50 • (2x + y)2

Step 3 :

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

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

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

-192x2 - 216xy - 42y2 = -6 • (32x2 + 36xy + 7y2)

Trying to factor a multi variable polynomial :

4.2 Factoring 32x2 + 36xy + 7y2

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

Found a factorization : (4x + y)•(8x + 7y)