Question

Find the gcf of each pair of monomials : x3y2 and x5y

Answer 1

Answer:
`\text{x}^3\text{y}`

This is the same as writing x^3y

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Step-by-step explanation:

When finding the GCF, we look for the smallest exponent for each variable.

The x terms of the given expressions are x^3 and x^5. The smallest exponent here is 3, so x^3 is part of the GCF.

The y terms are y^2 and y. Think of y as y^1, which shows 1 is the smallest exponent. We'll have y as part of the GCF.

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We found that...

• x^3 is part of the GCF
• y is also part of the GCF

The overall GCF is x^3y which can be written as
`\text{x}^3\text{y}`

Side note: We ignore the coefficients since they are 1 for each monomial.