Q:

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

Accepted Solution

A:
Answer:Final result :  5y2Reformatting 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 - B2Note :  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 squaresEquation 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 :  5y2Step-by-step explanation: