Question
What is the simplified form of the following expression? 12[6aquared divided by (5 squared - 4 squared) + 7]
Answers
GPT 3.5
To simplify the given expression, we start by simplifying the numerator and denominator within the parentheses.
The numerator is 6 squared, which equals 6 × 6 = 36.
The denominator is (5 squared - 4 squared). This means we subtract 4 squared from 5 squared.
4 squared = 4 × 4 = 16.
5 squared = 5 × 5 = 25.
So, the denominator is 25 - 16 = 9.
Now we substitute these simplified values back into the expression:
12 [36 divided by 9 + 7].
Next, we simplify the division:
36 divided by 9 = 4.
The expression becomes:
12 [4 + 7].
Next, we simplify the addition:
4 + 7 = 11.
Finally, we substitute back into the expression:
12 × 11 = 132.
Therefore, the simplified form of the expression is 132.
The numerator is 6 squared, which equals 6 × 6 = 36.
The denominator is (5 squared - 4 squared). This means we subtract 4 squared from 5 squared.
4 squared = 4 × 4 = 16.
5 squared = 5 × 5 = 25.
So, the denominator is 25 - 16 = 9.
Now we substitute these simplified values back into the expression:
12 [36 divided by 9 + 7].
Next, we simplify the division:
36 divided by 9 = 4.
The expression becomes:
12 [4 + 7].
Next, we simplify the addition:
4 + 7 = 11.
Finally, we substitute back into the expression:
12 × 11 = 132.
Therefore, the simplified form of the expression is 132.