Question

factorise 36-x^2-y^2-2xy​

Answer 1

Answer:

(6+x+y)(6-x-y)

Step-by-step explanation:

(6+x+y)(6-x-y)

Answer 2

Answer:

STEP

1

:

Equation at the end of step 1

 ((22•32x2) • y2) -  81

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  36x2y2 - 81  =   9 • (4x2y2 - 9)

Trying to factor as a Difference of Squares:

3.2      Factoring:  4x2y2 - 9

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  4  is the square of  2

Check : 9 is the square of 3

Check :  x2  is the square of  x1

Check :  y2  is the square of  y1

Factorization is :       (2xy + 3)  •  (2xy - 3)

Step-by-step explanation: