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Factoring Polynomials: Difference of Squares

Question 1 • FL-1200700-Mathematics for College Algebra MIS

Which monomials are perfect cubes? Check all that apply.3x38x1227x9100x3125x5

Answer
A
3x3
B
8x12
C
27x9
D
100x3
E
125x5

Explanation

A monomial is a perfect cube when its coefficient is a perfect cube and the exponent of each variable is a multiple of 3. In 8x¹², 8 = 2³ and 12 is a multiple of 3; in 27x⁹, 27 = 3³ and 9 is a multiple of 3. The other choices fail at least one of these conditions.

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