Question

Find the greatest common factor of thefollowing monomials:41g3h43g2 h7Enter the correct answer.

Answer 1

`\text{Greatest common factor = g}^2h`Step-by-step explanation:

`\begin{gathered} \text{Given expressions:} \\ 41g^3h\text{ }and\text{ }43g^2h^2 \\ \\ We\text{ n}eed\text{ to find factors common to both expressions} \end{gathered}`

First let's expand each expression:

`\begin{gathered} 41g^3h\text{ = 41 }*\text{ g }* g* g* h \\ 43g^2h^2\text{ = 43 }* g\text{ }*\text{ g}* h* h \end{gathered}`

Next, we will pick the letters and numbers common to both:

`\begin{gathered} \text{Common factors: } \\ \text{g }*\text{ g }* h \end{gathered}`

`\begin{gathered} g* g* h=g^2h \\ \\ \text{The greatest common factor = }g^2h \end{gathered}`