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: \[ \boxed{12a^2 - 29a + 14} \]