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Simplify 210x² + 2y² - 6x² + 2xy

Mathematics

ScanSolve AI Answer

Answer

−2x2+2y2+2xy-2x^2 + 2y^2 + 2xy

Step-by-step solution

3 steps

  1. Identify like terms in the expression.

    The given expression is 4x2+2y2−6x2+2xy4x^2 + 2y^2 - 6x^2 + 2xy.
    Like terms are terms that have the same variables raised to the same powers.
    In this expression, 4x24x^2 and −6x2-6x^2 are like terms.

  2. Combine the like terms.

    Combine the x2x^2 terms:

    4x2−6x2=(4−6)x2=−2x24x^2 - 6x^2 = (4 - 6)x^2 = -2x^2

    The terms 2y22y^2 and 2xy2xy do not have any like terms to combine with, so they remain as they are.

  3. Write the simplified expression.

    Combine the result from Step 2 with the remaining terms:

    −2x2+2y2+2xy-2x^2 + 2y^2 + 2xy
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