Question

Identify the GCF of 6x2y2 − 8xy2 + 10xy3

Answer 1

`\text{The GCF is }2xy^2`

Explanation:

Given the expression

`6x^2y^2-8xy^2+10xy^3`

we have to identify the GCF of the above expression

we have to take the GCF of 6, 8, 10, GCF of same variable of the above three terms of expression.

`\text{GCF of 2, 6 and 8 is 2}`

`\text{GCF of }x^2, x\text{ and x is x }`

`\text{GCF of }y^2,y^2\text{ and }y^3\text{ is }y^2`

`\text{Hence, the GCF is }2xy^2`

Answer 2

GCF is the greatest common factor, which is a number which is common to all these numbers, and which can be used to divide all of them.
Having this in mind, it is 2xy^2.