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Evaluate the expression. Do not round your answer. 2(3^(2)+4^(2))=

Evaluate the expression.\newlineDo not round your answer.\newline2(32+42)= 2\left(3^{2}+4^{2}\right)=

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Full solution

Q. Evaluate the expression.\newlineDo not round your answer.\newline2(32+42)= 2\left(3^{2}+4^{2}\right)=
  1. Calculate square of 33: Calculate the square of 33.\newlineReasoning: The expression contains 33 raised to the power of 22, which means 33 multiplied by itself.\newlineCalculation: 32=3×3=93^2 = 3 \times 3 = 9
  2. Calculate square of 44: Calculate the square of 44.\newlineReasoning: The expression contains 44 raised to the power of 22, which means 44 multiplied by itself.\newlineCalculation: 42=4×4=164^2 = 4 \times 4 = 16
  3. Add results from Step 11 and Step 22: Add the results from Step 11 and Step 22.\newlineReasoning: The expression requires the sum of 323^2 and 424^2.\newlineCalculation: 9+16=259 + 16 = 25
  4. Multiply sum by 22: Multiply the sum by 22.\newlineReasoning: The expression has a factor of 22 outside the parentheses, which needs to be distributed to the sum inside the parentheses.\newlineCalculation: 2×25=502 \times 25 = 50

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