Question

1. (4 x - 3y) * - (2 x + y ) (3x - 5y) ​

Answer 1

ответ: 24х(в 3 степени) - 46х (во 2 степени)у + ху(во 2 степени) + 15 у(в 3 степени)

Answer 2

To multiply the given expressions, you'll need to apply the distributive property and then simplify the result. Here's the step-by-step calculation:

(4x - 3y) * -(2x + y) * (3x - 5y)

First, distribute the negative sign into the second expression:

= (4x - 3y) * (-2x - y) * (3x - 5y)

Now, apply the distributive property for the first pair of binomials:

= (4x * -2x + 4x * -y - 3y * -2x - 3y * -y) * (3x - 5y)

Simplify each term:

= (-8x^2 - 4xy + 6xy + 3y^2) * (3x - 5y)

Now, apply the distributive property for the second pair of binomials:

= (-8x^2 - 4xy + 6xy + 3y^2) * 3x - (-8x^2 - 4xy + 6xy + 3y^2) * 5y

Now, multiply each term by the constants outside the parentheses:

= (-24x^3 - 12x^2y + 18xy^2 + 9y^3) - (-40x^2y - 20xy^2 + 30xy^2 + 15y^3)

Now, simplify further by combining like terms:

= -24x^3 - 12x^2y + 18xy^2 + 9y^3 + 40x^2y + 20xy^2 - 30xy^2 - 15y^3

Next, combine like terms:

= -24x^3 + (40x^2y - 12x^2y) + (18xy^2 + 20xy^2 - 30xy^2) + (9y^3 - 15y^3)

= -24x^3 + 28x^2y + 8xy^2 - 6y^3

So, the final result of the expression (4x - 3y) * -(2x + y) * (3x - 5y) is:

-24x^3 + 28x^2y + 8xy^2 - 6y^3