Factor the expression given below. Write each factor as a polynomial in descending order. Enter exponents using the caret ( ^ ). For example, you would enter x2 as x^2.343x3 + 216y3

The expression given is 343x^3 + 216y^3.

This is a sum of cubes, which can be factored using the formula a^3 + b^3 = (a + b)(a^2 - ab + b^2).

Here, a = (7x) and b = (6y) because (7x)^3 = 343x^3 and (6y)^3 = 216y^3.

So, the factored form of the expression is:

(7x + 6y)((7x)^2 - (7x)(6y) + (6y)^2)

= (7x + 6y)(49x^2 - 42xy + 36y^2)

The given expression is 343x^3 + 216y^3.

This is a sum of cubes, which can be factored using the formula a^3 + b^3 = (a + b)(a^2 - ab + b^2).

Here, a = (7x) and b = (6y) because (7x)^3 = 343x^3 and (6y)^3 = 216y^3.

So, the factored form of the expression is:

(7x + 6y)((7x)^2 - (7x)(6y) + (6y)^2)

= (7x + 6y)(49x^2 - 42xy + 36y^2)