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igor_vitrenko [27]
3 years ago
15

Simplify 2x+3y2-2(x+y)

Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

Answer:

Final result :

 5y2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "y2"   was replaced by   "y^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Trying to factor as a Difference of Squares :

1.1      Factoring:  x-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 :  x1   is not a square !!

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

Equation at the end of step  1  :

 (2x +  (3 • (y2))) -  2 • (x - y2)

Step  2  :

Equation at the end of step  2  :

 (2x +  3y2) -  2 • (x - y2)

Step  3  :

Final result :

 5y2

Step-by-step explanation:

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