Question

What is the value of the expression c2(8−b+a3)+7⋅a
when a=2
, b=4
, and c=3
?

102

122

166

230

Answer 1

To evaluate the expression \( c^2(8 - b + a^3) + 7 \cdot a \) with the values \( a = 2 \), \( b = 4 \), and \( c = 3 \), we can substitute these values step by step.

1. **Calculate \( a^3 \)**:
\[
a^3 = 2^3 = 8
\]

2. **Substitute the values of \( a \) and \( b \) into \( 8 - b + a^3 \)**:
\[
8 - b + a^3 = 8 - 4 + 8 = 12
\]

3. **Calculate \( c^2 \)**:
\[
c^2 = 3^2 = 9
\]

4. **Now substitute into the expression \( c^2(8 - b + a^3) + 7 \cdot a \)**:
\[
c^2(8 - b + a^3) = 9 \cdot 12 = 108
\]

5. **Calculate \( 7 \cdot a \)**:
\[
7 \cdot a = 7 \cdot 2 = 14
\]

6. **Finally, add the two parts**:
\[
108 + 14 = 122
\]

Therefore, the value of the expression is \( \boxed{122} \).