Question

8yz(3y³-5yz-4)-6y²z×(4y²-6z+1)​

Answer 1

Ответ: 2yz•(-20yz-16+183y)

Пошаговое объяснение:

Answer 2

It looks like you've provided an algebraic expression:

8yz(3y³ - 5yz - 4) - 6y²z(4y² - 6z + 1)

To simplify this expression, let's apply the distributive property (also known as the distributive law or FOIL) and combine like terms:

1. Distribute the terms within the first parentheses: 8yz * 3y³ = 24y⁴z 8yz * (-5yz) = -40y²z² 8yz * (-4) = -32yz

So, the first part becomes: 24y⁴z - 40y²z² - 32yz

2. Distribute the terms within the second parentheses: -6y²z * 4y² = -24y⁴z -6y²z * (-6z) = 36y²z³ -6y²z * 1 = -6y²z

So, the second part becomes: -24y⁴z + 36y²z³ - 6y²z

Now, let's combine the simplified parts: (24y⁴z - 40y²z² - 32yz) - (24y⁴z - 36y²z³ + 6y²z)

Distribute the negative sign in the second part: 24y⁴z - 40y²z² - 32yz - 24y⁴z + 36y²z³ - 6y²z

Combine like terms: (24y⁴z - 24y⁴z) + (-40y²z²) + (-32yz + 36y²z³ - 6y²z)

The terms with y⁴z cancel out, and you're left with: -40y²z² - 32yz + 36y²z³ - 6y²z

So, the simplified expression is: -40y²z² - 32yz + 36y²z³ - 6y²z