Question

(10 + 13)(2 + 7y)Which expression is equivalent to the expression above?20 + 70y23 + 9y26 + 91y46 + 161y

Answer 1

To simplify the expression \((10 + 13)(2 + 7y)\), we can use the distributive property (also known as the FOIL method for binomials).

1. First, we simplify the expression inside the first parentheses:
\[
10 + 13 = 23
\]
So now the expression is:
\[
23(2 + 7y)
\]

2. Next, we distribute \(23\) to both terms inside the parentheses:
\[
23 \cdot 2 + 23 \cdot 7y = 46 + 161y
\]

Thus, the expression \((10 + 13)(2 + 7y)\) simplifies to:
\[
46 + 161y
\]

Therefore, the correct answer is:
\[
\boxed{46 + 161y}
\]