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3 September, 22:28

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

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Answers (1)
  1. 3 September, 23:23
    0
    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
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