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Write each of these statements in algebraic notation.a The number x is multiplied by itself.<***dia***>b The number x is multiplied by itself, and 3 is added to the result.c The cube of a is taken.d The cube of a is taken and added to 3.

Question

Write each of these statements in algebraic notation.a The number x is multiplied by itself.<dia>b The number x is multiplied by itself, and 3 is added to the result.c The cube of a is taken.d The cube of a is taken and added to 3.

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Solution

a. The algebraic notation for "The number x is multiplied by itself" is x^2 or x*x.

b. The algebraic notation for "The number x is multiplied by itself, and 3 is added to the result" is x^2 + 3 or x*x + 3.

c. The algebraic notation for "The cube of a is taken" is a^3.

d. The algebraic notation for "The cube of a is taken and added to 3" is a^3 + 3.

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