Question:

[tex]42a^5b^4[/tex] = (2a²b) (3ab)(___)

Solution/s:

Solve for the missing numerical coefficient:

[tex] \displaystyle \frac{42}{2(3)} = \frac{42}{6} = \boxed{7} [/tex]

Solve for the missing literal coefficients:

[tex] \displaystyle \frac{a^5}{a^2(a)} = \frac{a^5}{a^3} = \boxed{a^2}[/tex]

[tex] \displaystyle \frac{b^4}{b(b)} = \frac{b^4}{b^2} = \boxed{b^2}[/tex]

Answer: [tex] (7a^2b^2) [/tex]