Question

factorize 25(x-y)^2-36(x+y)^2​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

(25 • ((x - y)2)) - 36 • (x + y)2

STEP

2

:

Equation at the end of step 2

25 • (x - y)2 - 36 • (x + y)2

STEP

3

:

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

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

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

-11x2 - 122xy - 11y2 = -1 • (11x2 + 122xy + 11y2)

Trying to factor a multi variable polynomial :

4.2 Factoring 11x2 + 122xy + 11y2

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

Found a factorization : (11x + y)•(x + 11y)

Final result :

(-11x - y) • (x + 11y)