QQuestionMathematics
QuestionMathematics
Factor 70 + 63. Write your answer in the form a(b+c), where a is the GCF of 70 and 63.
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Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Find the prime factorizations of 70 and 63
• 70 = $$2 \times 5 \times 7
• 63 = 3^{2} \times 7
Step 3:: Identify the Greatest Common Factor (GCF)
• The common factor between 70 and 63 is 7 • So the GCF is 7
Step 4:: Rewrite the original expression using the GCF
• 70 + 63 = $$7(10 + 9)
• 7(10 + 9) = 7(19)
Step 5:: Verify the factorization
• $$7(10 + 9) = 70 + 63
• 7 \times 9 = 63
Final Answer
• a = 7 (the GCF) • b = 10 • c = 9
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