Question

What is the answer to (4a-7) (3a-2)?

Answer 1

To find the answer to the expression \((4a - 7)(3a - 2)\), we need to use the distributive property (also known as the FOIL method for binomials).

1. **First**: Multiply the first terms:
\[
4a \cdot 3a = 12a^2
\]

2. **Outer**: Multiply the outer terms:
\[
4a \cdot (-2) = -8a
\]

3. **Inner**: Multiply the inner terms:
\[
-7 \cdot 3a = -21a
\]

4. **Last**: Multiply the last terms:
\[
-7 \cdot (-2) = 14
\]

Now, combine all these results together:
\[
12a^2 - 8a - 21a + 14
\]

Combine the like terms \(-8a\) and \(-21a\):
\[
12a^2 - 29a + 14
\]

So, the final answer is:
\[
\boxed{12a^2 - 29a + 14}
\]