Question

1331x^3y -11xy^3 plz answer it

Answer 1

Answer:

Step-by-step explanation:

1331x3y-11xy3

Final result :

11xy • (11x + y) • (11x - y)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((1331 • (x3)) • y) - 11xy3

Step 2 :

Equation at the end of step 2 :

(113x3 • y) - 11xy3

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

1331x3y - 11xy3 = 11xy • (121x2 - y2)

Trying to factor as a Difference of Squares :

4.2 Factoring: 121x2 - y2

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 : 121 is the square of 11

Check : x2 is the square of x1

Check : y2 is the square of y1

Factorization is : (11x + y) • (11x - y)

Final result :

11xy • (11x + y) • (11x - y)

Answer 2

Answer:

Step-by-step explanation:

Taking 11xy as common :

11xy ( 121 x - y ) ^2

11xy ( 121 x + y ) ( 121 x - y )

Using rule :

a^2 - b^2 = ( a + b ) ( a - b )

where

a = 121x

b = y

I hope this helped you .....