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

1 Answer

6 votes

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

Explanation:

User Chris Gilardi
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