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State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

The least common multiply forx225 andx5 isrole="math" localid="1648029600853" x5¯.

Short Answer

Expert verified

The given statement is false.

The corrected statement is “The least common multiply forx225 and x5isx225¯ .”.

Step by step solution

01

Step 1. State the concept of least common multiple.

The least common multiple (LCM) is the least number that is a multiple of two or more numbers or polynomials.

02

Step 2. Explanation of the statement.

The expression is as follows x225 andx5.

Calculate the prime factors of both the expressions:

role="math" localid="1648029852221" x225=x+5x5x5=1.x5

Use each prime factor x+5and x5, the greatest number of times it appears in either of the factorizations.

role="math" localid="1648029943926" LCM=x+5x5=x225

03

Step 3. Write whether the statement is true or false.

The given statement “The least common multiply forx225and x5is .localid="1648030000920" x5¯” is false and the corrected statement will be “The least common multiply forx225and x5is x225¯.”.

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