Which expression below is equivalent to the following difference?
left-parenthesis negative 6 z squared minus 5z plus 4 right-parenthesis minus left-parenthesis 4 z squared plus 5 z minus 8 right-parenthesis (1 point)
negative 10 z squared minus 10z plus 12
negative 2 z squared minus 10z minus 4
negative 10 z squared minus 4
negative 2 z squared minus 4
negative 2 z squared - 10z + 12
To find the expression that is equivalent to the given difference, we need to subtract the second expression from the first expression.
The first expression is: negative 6z^2 - 5z + 4
The second expression is: 4z^2 + 5z - 8
To subtract the second expression from the first expression, we change the sign of the second expression and then add the two expressions together.
So, the expression that is equivalent to the given difference is:
negative 6z^2 - 5z + 4 - (4z^2 + 5z - 8)
Simplifying this expression, we get:
negative 6z^2 - 5z + 4 - 4z^2 - 5z + 8
Combining the like terms, we have:
negative (6z^2 - 4z^2) + (-5z - 5z) + (4 + 8)
Simplifying further, we get:
negative 2z^2 - 10z + 12
Therefore, the equivalent expression is negative 2z^2 - 10z + 12.
The correct answer is:
negative 2z squared minus 10z plus 12.