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Lesson eLearning

Simplify the following expression step by step and give the final answer: $(2^{3} + 3^{2}) \times (2^{2} + 1^{3}) - 4^{2}$ .

hard 4 marks Class 6 · Mathematics · Playing with Numbers

Answer

69

The correct answer is 69 — Final simplified value is 69.

Step-by-step solution

Compute $2^{3} = 8$ .
Compute $3^{2} = 9$ .
Sum first bracket: $8 + 9 = 17$ .
Compute $2^{2} = 4$ .
Compute $1^{3} = 1$ .
Sum second bracket: $4 + 1 = 5$ .
Multiply the sums: $17 \times 5 = 85$ .
Compute $4^{2} = 16$ .
Subtract: $85 - 16 = 69$ .
Final simplified value is 69.

Common mistake: Failing to evaluate exponents before multiplication

Concept tested: Simplifying nested expressions with exponents

Published 10 October 2026 · How this solution was prepared and checked

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