Mathematics: Find the greatest common factor of 6a^3b^2c^10 + 20c^10 – 8a^3b^2c^9

The estimate is less than the actual answer because both values were rounded down.Step-by-step explanation:Just did quiz...

Find the greatest common factor of 6a^3b^2c^10 - id632102015107761, mestaajtv

trisngle2565

20.12.2021

2c^9

Step-by-step explanation:

I'm assuming this is the expression: $6a^3b^2c^{10}+\:20c^{10}\:-\:8a^3b^2c^9$

$\mathrm{Factor\:}6a^3b^2c^{10}$ (Expand using 2's and 3's as they are the common factor in all terms)

$2\cdot \:3\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c$

$\mathrm{Factor\:}20c^{10}$ (5 needed to expand the coefficient)

$2\cdot \:2\cdot \:5\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c$

$\mathrm{Factor\:}8a^3b^2c^9$

$2\cdot \:2\cdot \:2\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c$

Common factors (terms that are in all expressions):

$2\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c$

Simplify:

2c^9

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