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17 March, 06:27

Simplify (4x^2 - 8xy + 2y^2) - (9x^2 - 4xy - 7y^2)

a. - 5x^2 + 4xy + 9y^2

b. - 5x^2 - 4xy + 9y^2

c. - 5x^2 + 12xy + 4y^2

d. - 5x^2 - 4xy - 5y^2

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Answers (2)
  1. 17 March, 07:01
    0
    Choice b is correct answer.

    Step-by-step explanation:

    Given expression is:

    (4x²-8xy+2y²) - (9x²-4xy-7y²)

    We have to simplify above expression.

    Step 1. Open small brackets and multiply negative sign to the terms of second small bracket.

    4x² - 8xy + 2y² - 9x² + 4xy + 7y²

    Step 2. Gather like terms

    4x²-9x²-8xy+4xy+2y²+7y²

    Step 3. Add the coefficients of like terms

    (4-9) x² + (-8+4) xy + (2+7) y²

    (-5) x² + (-4) xy + (9) y²

    -5x²-4xy+9y² which is the final answer.
  2. 17 March, 08:42
    0
    b

    Step-by-step explanation:

    Distribute parenthesis and collect like terms, noting that the second parenthesis is distributed by - 1

    (4x² - 8xy + 2y²) - (9x² - 4xy - 7y²)

    = 4x² - 8xy + 2y² - 9x² + 4xy + 7y² ← collect like terms

    = (4x² - 9x²) + ( - 8xy + 4xy) + (2y² + 7y²)

    = - 5x² - 4xy + 9y² → b
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