Question

(3х-5у)(9х^2+15ху+25у^2)

Answer 1

(3x-5y)(9x²-15xy+25y²)=(3x)³-(5y)³=27x³-125y³.

Answer 2

To multiply the expressions (3x-5y) and (9x^2+15xy+25y^2), you can use the distributive property. Multiply each term in the first expression by each term in the second expression and combine like terms, if any.

Let's break it down step by step:

First, multiply each term in the first expression (3x-5y) by the entire second expression (9x^2+15xy+25y^2):

(3x) * (9x^2+15xy+25y^2) = 27x^3 + 45x^2y + 75xy^2 (-5y) * (9x^2+15xy+25y^2) = -45yx^2 - 75xy^2 - 125y^3

Next, combine the like terms:

27x^3 + 45x^2y + 75xy^2 - 45yx^2 - 75xy^2 - 125y^3

Combining like terms, we get:

27x^3 - 45yx^2 + 45x^2y + 75xy^2 - 75xy^2 - 125y^3

Simplifying further:

27x^3 - 45yx^2 + 45x^2y - 125y^3

So, the product of (3x-5y) and (9x^2+15xy+25y^2) is 27x^3 - 45yx^2 + 45x^2y - 125y^3.