Question

richard has the following problem on his math quiz. which step should r
$9^2 + 2(5 + 2)^2 - 4$

\bigcirc\\; $18 + 90$

\bigcirc\\; $18 + 20$

\bigcirc\\; $81 + 90$

\bigcirc\\; $81 + 245$

Explanation:

Step1: Simplify inside the innermost parentheses

First, simplify the expression inside the parentheses: \( (5 + 2) = 7 \)

Step2: Simplify the exponent

Next, calculate the exponent: \( 7^2 = 49 \)

Step3: Simplify inside the brackets

Then, simplify inside the brackets: \( 49 - 4 = 45 \)

Step4: Simplify the multiplication

Now, multiply: \( 2 \times 45 = 90 \)

Step5: Simplify the exponent for the first term

Calculate \( 9^2 = 81 \)

Step6: Combine the terms

Finally, combine the two parts: \( 81 + 90 \)

Answer:

\( 81 + 90 \) (corresponding to the option "81 + 90")