What is the greatest common monomial factor of $6 f^{2} g^{3} + 12 g$ $6f^2g^3 + 12g$ ?

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Answer 1 · 2018-07-02T01:53:24

$6 g is the greatest monomial factor$ $color(green)(6g " is the greatest monomial factor"$

$6 f^{2} g^{3} + 12 g$ $6f^2g^3 + 12 g$

$\Rightarrow 6 \cdot f^{2} \cdot g^{2} \cdot g + 6 \cdot 2 \cdot g$ $=> 6 * f^2 * g^2 * g + 6 * 2 * g$

$\Rightarrow 6 g (f^{2} g^{2} + 2)$ $=> 6 g ( f^2 g^2 + 2)$

$6 g is the greatest monomial factor$ $color(green)(6g " is the greatest monomial factor"$

What is the greatest common monomial factor of 6f^2g^3 + 12g6f2g3+12g6f^2g^3 + 12g?