Question

2z(z-6)²+(z+11)(z-11) упростить​

Answer 1

Ответ:

2z^3-23z^2+72z-121

Объяснение:

2z(z^2-12z+36)+z^2-121=2z^3-24z^2+72z+z^2-121=2z^3-23z^2+72z-121

Answer 2

To simplify the expression, let's expand and combine like terms:

1. Expand (z-6)²: (z-6)² = (z-6)(z-6) = z(z-6) - 6(z-6) = z(z-6) - 6z + 36

2. Expand (z+11)(z-11): (z+11)(z-11) = z(z-11) + 11(z-11) = z(z-11) + 11z - 121

Now, let's put the expanded expressions back into the original equation:

2z(z-6)² + (z+11)(z-11) = 2z(z(z-6) - 6z + 36) + (z(z-11) + 11z - 121)

Next, distribute and simplify:

2z(z(z-6) - 6z + 36) + (z(z-11) + 11z - 121) = 2z(z²-6z - 6z + 36) + (z²-11z + 11z - 121)

Simplify further:

2z(z² - 12z + 36) + (z² - 121)

Now, distribute again:

2z * z² + 2z * (-12z) + 2z * 36 + z² - 121

Simplify each term:

2z³ - 24z² + 72z + z² - 121

Combine like terms:

2z³ - 24z² + z² + 72z - 121

Finally, combine the z² terms:

2z³ - 23z² + 72z - 121

So, the simplified expression is 2z³ - 23z² + 72z - 121.