Question

factorise
1331x^2y-11y^3x​

Answer 1

Answer:

hey mate....

I think......here is your solution

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Step-by-step explanation:

1331x2y-11y3x

Final result :

11xy • (121x - y2)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((1331 • (x2)) • y) - (11y3 • x)

Step 2 :

Equation at the end of step 2 :

(113x2 • y) - 11xy3

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

1331x2y - 11xy3 = 11xy • (121x - y2)

Trying to factor as a Difference of Squares :

4.2 Factoring: 121x - 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 : x1 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

11xy • (121x - y2)

I Hope it may be helpful for you!

Thank you!