Question

Identify the GCF of 10x4y3 − 5x3y2 + 20x2y. 10x2y 10x3y 5x2 5x2y

Answer 1

10x^4y^3 - 5x^3y^2 + 20x^2y....first, find the GCF of ur coefficients (numbers)....it is 5...now find the lowest exponents of x, which is x^2...and now find ur lowest exponent of y, which is y

so ur GCF is : 5x^2y

Answer 2

Answer:
`5x^2y`

Explanation:

Given polynomial :
`10x^4y^3-5x^3y^2 + 20x^2y`

We can rewrite the terms given in the above polynomial as :-

`10x^4y^3=5*2*x^4y^3\\\\-5x^3y^2=5*-1*x^3y^2\\\\20x^2y=5*4*x^2y`

The highest common factor of numerical coefficients = 5

The highest common power of x =2

The highest common power of y =1

Therefore, the greatest common factor (GCF) of
`10x^4y^3-5x^3y^2 + 20x^2y= 5x^2y`