Simplify (2ab+3b)/(8a+12)

Math
2ab+3b8a+12
Factor b out of 2ab+3b.
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Factor b out of 2ab.
b(2a)+3b8a+12
Factor b out of 3b.
b(2a)+b⋅38a+12
Factor b out of b(2a)+b⋅3.
b(2a+3)8a+12
b(2a+3)8a+12
Factor 4 out of 8a+12.
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Factor 4 out of 8a.
b(2a+3)4(2a)+12
Factor 4 out of 12.
b(2a+3)4(2a)+4(3)
Factor 4 out of 4(2a)+4(3).
b(2a+3)4(2a+3)
b(2a+3)4(2a+3)
Cancel the common factor of 2a+3.
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Cancel the common factor.
b(2a+3)4(2a+3)
Rewrite the expression.
b4
b4
Simplify (2ab+3b)/(8a+12)

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