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What is the greatest common factor of 35b^2, 15b^3, and 5b?

User Pmad
by
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2 Answers

4 votes

Answer:

5b

Explanation:

35b^2 = 5b(7b)

15b^3 = 5b(3b^2

5b = 5b(1)

User Mark Feng
by
4.6k points
1 vote

Answer:

The first expression can be rewritten as

35 {b}^{2} = 5 \times 7 \times {b}^{2}35b

2

=5×7×b

2

The second expression is rewritten as

15 {b}^{3} = 3 \times 5 {b}^{3}15b

3

=3×5b

3

The third expression is

5b = 5 \times b5b=5×b

The greatest common factor is the product of the least powers of the common factors.

User Olegz
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4.6k points