Question

What is the GCF of the expression 6(x^3)(y^3)+45(x^2)(y^2)+21xy? *

Your answer

Answer 1

3xy

Explanation:

We are to determine the GCF of the expression.

`6(x^3)(y^3)+45(x^2)(y^2)+21xy`

THe GCF of the expression is the term that exactly divides all the terms in the expression

Step 1

If we observe the expression carefully, we notice that it has a common term of 3, x and y. That is, 3,x and y divides each term.

Step 2

Divide by 3xy for confirmation

`3xy\left((6(x^3)(y^3))/(3xy) +(45(x^2)(y^2))/(3xy)+(21xy)/(3xy)\right)\\=3xy[2(x^2)(y^2)+15xy+7]`

Therefore, we can confirm that the GCF is 3xy.