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Sagot :
Answer:To find the product of \((4c - 2)(c + 2)\), you can use the distributive property (also known as FOIL method for binomials). Here's the step-by-step process:
1. **Distribute each term in the first binomial to each term in the second binomial:**
\[
(4c - 2)(c + 2)
\]
- Distribute \(4c\) to both \(c\) and \(2\):
\[
4c \cdot c = 4c^2
\]
\[
4c \cdot 2 = 8c
\]
- Distribute \(-2\) to both \(c\) and \(2\):
\[
-2 \cdot c = -2c
\]
\[
-2 \cdot 2 = -4
\]
2. **Combine all the terms:**
\[
4c^2 + 8c - 2c - 4
\]
3. **Combine the like terms (\(8c\) and \(-2c\)):**
\[
4c^2 + (8c - 2c) - 4
\]
\[
4c^2 + 6c - 4
\]
So, the product of \((4c - 2)(c + 2)\) is \(4c^2 + 6c - 4\).
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