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2 October, 07:18

Q:Expand and simplify:

(2w + 3x) (w - 5x) - (3w + 7x) (w - 7x)

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Answers (1)
  1. 2 October, 07:26
    0
    - w² + 7wx + 34x²

    Step-by-step explanation:

    Given

    (2w + 3x) (w - 5x) - (3w + 7x) (w - 7x) ← expand factors using FOIL

    = 2w² - 10wx + 3wx - 15x² - (3w² - 21wx + 7wx - 49x²) ← distribute by - 1

    = 2w² - 7wx - 15x² - 3w² + 21wx - 7wx + 49x² ← collect like terms

    = - w² + 7wx + 34x²
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