Find the Common Factor in the Expression ab+bc: Algebraic Factoring

Find the common factor:

ab+bc ab+bc

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Step-by-step video solution

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00:00 Take out a common factor
00:05 Mark the common factors
00:09 Extract the common factors from the parentheses
00:19 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Find the common factor:

ab+bc ab+bc

2

Step-by-step solution

ab+bc=a×b+b×c ab+bc=a\times b+b\times c

If we consider that b is the common factor, it can be removed from the equation:

b(ab+bc)= b(ab+bc)=

We divide by b:b(abb+bcb)= b(\frac{ab}{b}+\frac{bc}{b})=

b(a+c) b(a+c)

3

Final Answer

b(a+c) b(a+c)

Practice Quiz

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Break down the expression into basic terms:

\( 4x^2 + 6x \)

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