Question

(7z³+2z²-2z-5)-(6z³-z²+2z)=3z²-(6z-z³)​

Answer 1

Ответ:

z=2, 5

Объяснение:

7z^3+2z^2-2z-5-6z^3+z^2-2z=3z^2-6z+z^3

z^3+3z^2-4z-5=3z^2-6z+z^3

-4z-5=-6z

-4z+6z=5

2z=5

z=2,5

Answer 2

To simplify the given expression, let's expand and combine like terms on both sides of the equation.

Starting with the left side:

(7z³ + 2z² - 2z - 5) - (6z³ - z² + 2z)

Expanding the parentheses:

= 7z³ + 2z² - 2z - 5 - 6z³ + z² - 2z

Combining like terms:

= (7z³ - 6z³) + (2z² + z²) + (-2z - 2z) - 5

Simplifying further:

= z³ + 3z² - 4z - 5

Now, let's simplify the right side of the equation:

3z² - (6z - z³)

Expanding the parentheses:

= 3z² - 6z + z³

Combining like terms:

= z³ + 3z² - 6z

Now we can see that the left side and the right side of the equation are the same:

z³ + 3z² - 4z - 5 = z³ + 3z² - 6z

Since both sides of the equation are identical, the equation holds true for all values of z. Therefore, the simplified equation is:

z³ + 3z² - 4z - 5 = z³ + 3z² - 6z