Question

|10a+25-(a+5)²|-a|a|

Answer 1

ответ:|10a+25-(a+5)²|-a|a|=

|10a+25-(a²+10a+25)|-a×|a|=

|10a+25-a²-10a-25|-a×|a|=

|-a²|-a×|a|=

a²-a×|a|

Answer 2

To simplify the given expression |10a+25-(a+5)²|-a|a|, let's break it down step by step:

Step 1: Evaluate the expression within the innermost absolute value |a|. |-a| = a (since the expression inside the absolute value is negative)

So, the expression becomes: |10a + 25 - (a + 5)²| - a|a|

Step 2: Simplify the expression within the next absolute value |a + 5|². (a + 5)² = (a + 5)(a + 5) = a² + 10a + 25

So, the expression becomes: |10a + 25 - (a² + 10a + 25)| - a|a|

Step 3: Simplify the expression within the outermost absolute value |10a + 25 - (a² + 10a + 25)|. 10a + 25 - (a² + 10a + 25) = 10a + 25 - a² - 10a - 25 = -a²

So, the expression becomes: |-a²| - a|a|

Step 4: Simplify the absolute value of -a². |-a²| = a² (since the expression inside the absolute value is negative)

So, the expression becomes: a² - a|a|

Step 5: Simplify the expression -a|a|. -a|a| = -a(a) = -a²

So, the final simplified expression is: a² - a² = 0

Therefore, the simplified expression is 0.