Answer :

Answer:

Step-by-step explanation:

1. Identify coefficients \( a = 1 \), \( b = -45 \), \( c = 324 \).

2. Find two numbers that multiply to \( 324 \) and add to \( -45 \).

3. The correct pair is \(-9\) and \(-36\).

4. Rewrite the expression: \( x^2 - 9x - 36x + 324 \).

5. Group terms: \( (x^2 - 9x) + (-36x + 324) \).

6. Factor each group: \( x(x - 9) - 36(x - 9) \).

7. Factor out the common binomial: \( (x - 9)(x - 36) \).

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