У=1. +lg(2x-1) √2x+x-x^2
To simplify this expression, we need to first apply the function lg(2x-1) to the terms inside the parentheses.
lg(2x-1) √2x+x-x^2
Next, we need to simplify the square root term.
√2x = √(2) √(x) = √2 √x
Now, we can rewrite the expression as:
lg(2x-1) (√2 √x + x - x^2)
Finally, we distribute lg(2x-1) to each term within the parentheses:
lg(2x-1) √2 √x + lg(2x-1) x - lg(2x-1) x^2
Therefore, the simplified expression is:
У=1. +lg(2x-1) √2x+x-x^2
To simplify this expression, we need to first apply the function lg(2x-1) to the terms inside the parentheses.
lg(2x-1) √2x+x-x^2
Next, we need to simplify the square root term.
√2x = √(2) √(x) = √2 √x
Now, we can rewrite the expression as:
lg(2x-1) (√2 √x + x - x^2)
Finally, we distribute lg(2x-1) to each term within the parentheses:
lg(2x-1) √2 √x + lg(2x-1) x - lg(2x-1) x^2
Therefore, the simplified expression is:
lg(2x-1) √2 √x + lg(2x-1) x - lg(2x-1) x^2