Please answer my question.
11. Simplify the following expression:
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Answer:
x - 2
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Step-by-step explanation:
(x-1)(x -2)(x²-9x + 14) / (x -7)(x² - 3x + 2)
= (x - 1)(x - 2)(x² - 2x - 7x + 14) / (x - 7)( x² - x - 2x + 2 )
= (x - 1)(x - 2)[x (x - 2) - 7 (x - 2) ] / (x - 7)[x (x - 1) - 2 (x - 1)]
= (x - 1)(x - 2)(x - 2)(x - 7) / (x -7)(x - 1)(x - 2)
= (x - 2) is the answer. ( ∵ (x - 1), (x - 2) &(x - 7) both numerator and denominator are cancelled )
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