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(21-11){-15+3[4-2(7-9)]}

(21−11){−15+3[4−2(7−9)]} (21-11)\{-15+3[4-2(7-9)]\}

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Factor numerical expressions using the distributive propertyright chevron icon

Full solution

Q. (21−11){−15+3[4−2(7−9)]} (21-11)\{-15+3[4-2(7-9)]\}
  1. Calculate Difference: Calculate the difference inside the first parentheses: 21−1121 - 11. \newline21−11=1021 - 11 = 10.
  2. Innermost Parentheses: Calculate the expression inside the innermost parentheses: 7−97 - 9. 7−9=−27 - 9 = -2.
  3. Multiply by 22: Multiply −2-2 by 22: 2×−22 \times -2.\newline2×−2=−42 \times -2 = -4.
  4. Replace Result in Expression: Replace the result of 2(−2)2(-2) in the expression: 3[4−(−4)]3[4 - (-4)].\newlineCalculate the expression inside the brackets: 4−(−4)4 - (-4).\newline4−(−4)=4+4=84 - (-4) = 4 + 4 = 8.
  5. Calculate Expression Inside Brackets: Multiply 33 by 88: 3×83 \times 8.\newline3×8=243 \times 8 = 24.
  6. Multiply by 33: Replace the result of 3[4−2(7−9)]3[4 - 2(7 - 9)] with 2424 in the expression: −15+24-15 + 24.\newlineCalculate the sum: −15+24-15 + 24.\newline−15+24=9-15 + 24 = 9.
  7. Replace Result in Expression: Multiply the result of 21−1121 - 11 by the result of {−15+3[4−2(7−9)]}\{-15 + 3[4 - 2(7 - 9)]\}. $10 \times 9 = 90.

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