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8 September, 12:29

What is the following product?

(x√7-3√8) (x√7-3√8)

A. 7x^2+72

B. 7x^2-12x√14+72

C. 7x^2-12x√14-72

D. 7x^2-72

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Answers (1)
  1. 8 September, 12:38
    0
    Hello:

    by identity : (a-b) ² = a² + b² - 2ab

    (x√7-3√8) (x√7-3√8) = (x√7-3√8) ² = (x√7) ² + (3√8) ² - 2 (x√7) (3√8)

    =7x²+72 - 6x√56

    = 7x²+72-6x√ (14*4)

    = 7x²+72-12x√ (14). because : √ (14*4) = 2√14

    Answer B
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