Question

Factorise : 81x^2 - 90xy+ 25y^2

Answer 1

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

((81 • (x2)) - 90xy) + 52y2

STEP

2

:

Equation at the end of step

2

:

(34x2 - 90xy) + 52y2

STEP

3

:

Trying to factor a multi variable polynomial

3.1 Factoring 81x2 - 90xy + 25y2

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

Found a factorization : (9x - 5y)•(9x - 5y)

Detecting a perfect square :

3.2 81x2 -90xy +25y2 is a perfect square