Given:
The expression is

The steps are given.
To find:
The mistake in her steps.
Solution:
We have,

The correct steps are shown below.
Step 1: Taking out x as common factor.

Step 2: Now, taking out 2x² as common factor from first two terms (first group of terms) and -1 form last two terms (second group of terms) in the parentheses.

Step 3: Taking out (x+1) as common factor.

She incorrectly factored -1 from the second group of terms.
Therefore, the correct option is B.
Correct option is A. Cecil’s remark in line 1 ("Lucy . . . faults") is made
in a tone of great conviction
Cecil is most sincere when he says that Lucy Honeychurch has no flaws. He completely believes this. Thus we can conclude that the tone here is that of great conviction. Thus A is the best answer.
the lines of the passage were -
Lucy Honeychurch has no faults,” said Cecil, with grave sincerity.
“I quite agree. At present she has none.”
“At present?”
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Answer:
I honestly don't know what the answer is that you are looking for
Answer:
2 units is perpendicular bisector of line segment