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Example Question #6 : Exponents And The Distributive Property
Which of the following is equivalent to 4c(3d)3 – 8c3d + 2(cd)4?
Possible Answers:
cd(54c * d3 – 4c3 + c2 * d2)
2(54d2 – 4c2 + 2c3 * d3)
None of the other answers
2cd(54d2 – 4c2 + c3 * d3)
Correct answer:
2cd(54d2 – 4c2 + c3 * d3)
Explanation:
First calculate each section to yield 4c(27d3) – 8c3d + 2c4d4 = 108cd3 – 8c3d + 2c4d4. Now let's factor out the greatest common factor of the three terms, 2cd, in order to get: 2cd(54d2 – 4c2 + c3d3).
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