Questions: Perform the indicated operation and simplify. [ -(2 x-5)^2 ] (-(2 x-5)^2=) (square) (Simplify your answer.)

Perform the indicated operation and simplify.
[
-(2 x-5)^2
]
(-(2 x-5)^2=) (square) (Simplify your answer.)
Transcript text: Perform the indicated operation and simplify. \[ -(2 x-5)^{2} \] $-(2 x-5)^{2}=$ $\square$ (Simplify your answer.)
failed

Solution

failed
failed

Solution Steps

Step 1: Expand the Expression

We start with the expression (2x5)2-(2x - 5)^2. To simplify it, we first expand the square of the binomial: (2x5)2=(2x)22(2x)5+52=4x220x+25 (2x - 5)^2 = (2x)^2 - 2 \cdot (2x) \cdot 5 + 5^2 = 4x^2 - 20x + 25

Step 2: Apply the Negative Sign

Next, we apply the negative sign to the expanded expression: (4x220x+25)=4x2+20x25 -(4x^2 - 20x + 25) = -4x^2 + 20x - 25

Final Answer

The simplified expression is: 4x2+20x25 \boxed{-4x^2 + 20x - 25}

Was this solution helpful?
failed
Unhelpful
failed
Helpful