Find the Common Factor in 7a+14b: Step-by-Step Solution

Find the common factor:

7a+14b 7a+14b

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find a common factor
00:07 Factor 14 into factors 2 and 7
00:11 Mark the common factors
00:19 Take out the common factors from the parentheses
00:29 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Find the common factor:

7a+14b 7a+14b

2

Step-by-step solution

We divide 14 into a multiplication exercise to help us simplify the calculation accordingly:7×a+7×b×2= 7\times a+7\times b\times2=

We then extract the common factor 7:

7(a+2×b)=7(a+2b) 7(a+2\times b)=7(a+2b)

3

Final Answer

7(a+2b) 7(a+2b)

Practice Quiz

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Break down the expression into basic terms:

\( 4x^2 + 6x \)

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