Multi-step simplification with factoring Evaluate [(272 − 32)(124 + 176)] / (17 × 15 − 15).

Introduction / Context:
This expression features grouped additions and subtractions that should be simplified before multiplication, followed by a final division. It assesses orderly reduction of terms and clean arithmetic.

Given Data / Assumptions:

• Numerator: (272 − 32)(124 + 176).
• Denominator: (17 × 15 − 15).
• Standard precedence rules apply inside each bracket.

Concept / Approach:
First compute each bracket. Then multiply the bracket results for the numerator. Compute the denominator next. Finally, divide to obtain the simplified value. Look for convenient numbers that help mental arithmetic.

Step-by-Step Solution:
272 − 32 = 240.124 + 176 = 300.Numerator = 240 × 300 = 72,000.Denominator = 17 × 15 − 15 = 255 − 15 = 240.Value = 72,000 / 240 = 300.

Verification / Alternative check:
Divide numerator and denominator by 240 directly: (240 × 300) / 240 = 300. This quick cancellation confirms the result.

Why Other Options Are Wrong:
0 and 2.25 are far from the computed value; “None of these” is invalid since 300 is available; 150 would be obtained if one mistakenly halved the denominator twice.

Common Pitfalls:
Multiplying before finishing bracket simplifications; arithmetic slips with 17 × 15; forgetting to subtract 15 after the product.

Final Answer:
300