Question

(10 + 13)(2 + 7y)

Which EXPRESSION is equivalent to THE ONE ABOVE.

20 + 70y

23 + 9y

26 + 91y

46 + 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 calculate the sum inside the parentheses:
\[
10 + 13 = 23
\]
So the expression now looks like:
\[
23(2 + 7y)
\]

2. Next, distribute \(23\) to both terms inside the second parentheses:
- First term:
\[
23 \cdot 2 = 46
\]
- Second term:
\[
23 \cdot 7y = 161y
\]

3. Combine the results:
\[
46 + 161y
\]

Thus, the expression \((10 + 13)(2 + 7y)\) is equivalent to:
\[
\boxed{46 + 161y}
\]