Answer: the answer to the equation (X 4y)(3x-6y-5) is 36x^3y - 144x^2y^2 + 144xy^3 - 240xy^2 + 480y^3.
Explanation:
Let's begin by multiplying X by each term inside the parentheses: X * 3x = 3x^2 and X * -6y = -6xy.
Next, we'll multiply 4y by each term inside the parentheses: 4y * 3x = 12xy and 4y * -6y = -24y^2. Finally, we'll multiply 4y by -5: 4y * -5 = -20y.
By multiplying and combining like terms, we have:
(3x^2 - 6xy - 20y)(12xy - 24y^2)
To continue simplifying, we need to distribute each term of the first binomial (3x^2 - 6xy - 20y) to every term of the second binomial (12xy - 24y^2).
Multiplying each term separately, we get:
3x^2 * 12xy = 36x^3y
3x^2 * -24y^2 = -72x^2y^2
-6xy * 12xy = -72x^2y^2
-6xy * -24y^2 = 144xy^3
-20y * 12xy = -240xy^2
-20y * -24y^2 = 480y^3
Combining like terms, we have:
36x^3y - 72x^2y^2 - 72x^2y^2 + 144xy^3 - 240xy^2 + 480y^3
To further simplify, we can group similar terms together:
36x^3y - (72x^2y^2 + 72x^2y^2) + (144xy^3 - 240xy^2) + 480y^3
Combining like terms within parentheses, we get:
36x^3y - 144x^2y^2 + 144xy^3 - 240xy^2 + 480y^3
Thus, the final answer to the equation (X 4y)(3x-6y-5) is 36x^3y - 144x^2y^2 + 144xy^3 - 240xy^2 + 480y^3.
i hope im right and i hope this helps