Question

How do you factor the expression
20k+50

Answer 1

Find the greates common factor between the two numbers being added which is 10, and divide them. Next put the two quotients in separate parentheses and multiply each one by 10 separatelyas shown:

10(2k) + 10(5)

Answer 2

Answer is 10(2k+5)

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Work Shown:

20k+50 = 10*2k + 10*5
20k+50 = 10(2k+5)

Note how we can distribute the 10 back in to check our work
10(2k+5) = 10(2k)+10(5) = 20k+50
so that confirms we have the right answer

Another thing to notice is that 10 is the largest factor that we can pull out of 20k and 50. The value 10 is the GCF (greatest common factor) of 20 and 50.