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Multiplying Binomials

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Which of the following products is not equivalent to the others? Explain your answer.

a) (2x-4)(x+3)
b) (x-2)(2x+6)
c) 2(x-2)(x+3)
d) (2x-4)(2x+6)

Please explain (in very elementary terms) and how you calculated the answer. Thank you. I need step by step to REALLY understand.

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This solution helps with multiplying binomials.

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Algebraic expressions can be written in lots of different ways. You can change the order of terms [ 2x + 4 = 4 + 2x ] or you can rearrange terms in a more complex way [ 2x + 4 = 2(x + 2) ].

Try to write the four expressions in the same way. You can "factor out" as many terms as you can to try to simplify the expressions:

a) (2x-4)(x+3) = 2(x - 2)(x + ...

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