simplif $$ y(77 \div 3(5-2)+2)^{2}-12 $$

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$
y \left(77 \div 3(5 - 2) + 2\right)^{2} - 12
$$

**Step 1: Simplify Inside the Parentheses**

First, evaluate the expression inside the parentheses:

$$
77 \div 3(5 - 2) + 2
$$

- Calculate $$5 - 2$$:

$$
5 - 2 = 3
$$

- Now, the expression becomes:

$$
77 \div 3 \times 3 + 2
$$

- Perform the division and multiplication from left to right:

$$
77 \div 3 = \frac{77}{3} \
\frac{77}{3} \times 3 = 77
$$

- Add 2:

$$
77 + 2 = 79
$$

**Step 2: Square the Result**

Now, square the result:

$$
79^{2} = 6241
$$

**Step 3: Multiply by $$ y $$ and Subtract 12**

Finally, multiply by $$ y $$ and subtract 12:

$$
y \times 6241 - 12 = 6241y - 12
$$

**Final Simplified Expression:**

$$
6241y - 12
$$
The simplified expression is $$ 6241y - 12 $$.

simplif \( y(77 \div 3(5-2)+2)^{2}-12 \)