Evaluate:
l -(-5)^2 l [( -5) - (-2)] + [(-5)^3 + (-2)]
Ms.Sue i broke it down more! Hopefully that helps
l -(-5)^2 l [( -5) - (-2)] + [(-5)^3 + (-2)]
= |-25| [ -5 + 2] + [- 125 - 2]
= 25(-3) + (-127)
= -202
Thank you so much!
To evaluate the given expression, let's break it down step-by-step:
1. Calculating (-5)^2 will give us 25.
So, the expression becomes: l -25l [( -5) - (-2)] + [(-5)^3 + (-2)]
2. Simplify the expression inside the absolute value signs: [( -5) - (-2)]
By subtracting -2 from -5, we get -3.
The expression becomes: l -25l (-3) + [(-5)^3 + (-2)]
3. Evaluate the exponential term (-5)^3:
(-5)^3 = -5 * -5 * -5 = -125.
The expression becomes: l -25l (-3) + [-125 + (-2)]
4. Simplify the expression inside the square brackets: [-125 + (-2)]
Adding -125 and -2 gives us -127.
The expression becomes: l -25l (-3) + (-127)
5. Now, calculate -25 * (-3) and simplify further:
-25 * (-3) = 75.
The expression becomes: l 75l + (-127)
6. Evaluate the absolute value of 75 (l 75l):
Since 75 is positive, the absolute value of 75 is also 75.
The expression becomes: 75 + (-127)
7. Finally, add 75 and -127:
75 + (-127) = -52
Therefore, the evaluated value of the given expression is -52.