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

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