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sqdancefan

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Answer:

  1) 6(x -3)

  4) (x -6)^2

  5) (x -1)(x -6)

  7) (8x -1)(8x +1)

Step-by-step explanation:

We can do one of each type.

1) common factor: 6x -18 = 6x -6·3 = 6(x -3)

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4) perfect square trinomial: x^2 -12x +36 = (x -6)^2

  the coefficient of the x-term is double the square root of the constant

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5) quadratic trinomial: x^2 -6x +5 = (x -1)(x -6)

  the sum of the divisors of +5 = (-1)(-5) is the coefficient of the x-term

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7) difference of squares: 64x^2 -1 = (8x -1)(8x +1)

  the terms in each binomial are the roots of the terms in the difference of squares

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