Question

Identify the common factor from the expression $9m{n}^2-4m^2{n}^2+7m^{4}n$.

• A. $m{n}^2$
• B. $m^{2}n$
• C. $mn$
• D. $m^2{n}^2$

Answer 1

The correct option is C $mn$

Given Expression: $9m{n}^2-4m^2{n}^2+7m^{4}n$

The minimum power of $m$ in the given expression is 1 and the minimum power of $n$ in the given expression is also 1.

Also, the coefficients of all the terms has only as the common factor.
Hence, we can simplify the given expression as
$9m{n}^2-4m^2{n}^2+7m^{4}n=mn(9n-4mn+7m^3$

Thus the common factor of the given expression is $mn$.