Simplify ((2c-16)/(3c-5))÷((c-8)/(2c+6))

Math
2c-163c-5÷c-82c+6
To divide by a fraction, multiply by its reciprocal.
2c-163c-5⋅2c+6c-8
Simplify terms.
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Factor 2 out of 2c-16.
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Factor 2 out of 2c.
2(c)-163c-5⋅2c+6c-8
Factor 2 out of -16.
2c+2⋅-83c-5⋅2c+6c-8
Factor 2 out of 2c+2⋅-8.
2(c-8)3c-5⋅2c+6c-8
2(c-8)3c-5⋅2c+6c-8
Cancel the common factor of c-8.
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Factor c-8 out of 2(c-8).
(c-8)⋅23c-5⋅2c+6c-8
Cancel the common factor.
(c-8)⋅23c-5⋅2c+6c-8
Rewrite the expression.
23c-5(2c+6)
23c-5(2c+6)
Multiply 23c-5 and 2c+6.
2(2c+6)3c-5
2(2c+6)3c-5
Simplify the numerator.
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Factor 2 out of 2c+6.
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Factor 2 out of 2c.
2(2(c)+6)3c-5
Factor 2 out of 6.
2(2c+2⋅3)3c-5
Factor 2 out of 2c+2⋅3.
2(2(c+3))3c-5
2⋅2(c+3)3c-5
Multiply 2 by 2.
4(c+3)3c-5
4(c+3)3c-5
Simplify ((2c-16)/(3c-5))÷((c-8)/(2c+6))

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