If A is square matrix such that `A^2=A` , then `(I+A)^3-7A` is equal to (A) A (B) `I-A` (C) `I` (D) `3A`

Explanation

To solve the problem, we need to evaluate the expression \((I + A)^3 - 7A\) given that \(A\) is a square matrix satisfying the condition \(A^2 = A\).

### Step-by-Step Solution:

1. **Use the Binomial Expansion**:
We start with the expression \((I + A)^3\). We can use the binomial expansion formula:
\[
(x + y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k} y^k
...