PSAT Math : Exponents and the Distributive Property

Study concepts, example questions & explanations for PSAT Math

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Example Questions

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Example Question #1161 : Algebra

Which of the following is equivalent to 4c(3d)– 8c3d + 2(cd)4?

Possible Answers:

2(54d– 4c+ 2c* d3)

cd(54c * d– 4c+ c* d2)

None of the other answers

2cd(54d2 – 4c+ c* d3)

Correct answer:

2cd(54d2 – 4c+ c* d3)

Explanation:

First calculate each section to yield 4c(27d3) – 8c3d + 2c4d= 108cd– 8c3d + 2c4d4. Now let's factor out the greatest common factor of the three terms, 2cd, in order to get:  2cd(54d– 4c+ c3d3).

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