How is the binomial 2x^2y-4xy^3 expresses in factores form

 2xy • (x - 2y2)

Step-by-step explanation:

STEP 1

:

Equation at the end of step 1

 ((2 • (x2)) • y) -  22xy3

STEP 2

Equation at the end of step

 (2x2 • y) -  22xy3

STEP 3

STEP 4

:

Pulling out like terms

4.1     Pull out like factors :

  2x2y - 4xy3  =   2xy • (x - 2y2)  

Trying to factor as a Difference of Squares:

4.2      Factoring:  x - 2y2  

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 : 2 is not a square !!

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

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.

8

step-by-step explanation: