3² (10 / 2 + 9) - 3 (12 * 3) + 2³ (7 - 3 * 2)

asked by guest
on Mar 27, 2025 at 10:12 pm



You asked:

Evaluate the expression: 32(102+9)−3⋅12⋅3+23(7−3⋅2){3}^{2} \left(\frac{10}{2} + 9\right) - 3 \cdot 12 \cdot 3 + {2}^{3} \left(7 - 3 \cdot 2\right)

MathBot Answer:

32(102+9)−3⋅12⋅3+23(7−3⋅2)=26{3}^{2} \left(\frac{10}{2} + 9\right) - 3 \cdot 12 \cdot 3 + {2}^{3} \left(7 - 3 \cdot 2\right) = 26

32(102+9)−3⋅12⋅3+23(7−3⋅2)=9(102+9)−3⋅12⋅3+23(7−3⋅2)=9(5+9)−3⋅12⋅3+23(7−3⋅2)=9⋅14−3⋅12⋅3+23(7−3⋅2)=126−3⋅12⋅3+23(7−3⋅2)=126−3⋅36+23(7−3⋅2)=126−108+23(7−3⋅2)=18+23(7−3⋅2)=18+8(7−3⋅2)=18+8(7−6)=18+8⋅1=18+8=26\begin{aligned}{3}^{2} \left(\frac{10}{2} + 9\right) - 3 \cdot 12 \cdot 3 + {2}^{3} \left(7 - 3 \cdot 2\right)&=9 \left(\frac{10}{2} + 9\right) - 3 \cdot 12 \cdot 3 + {2}^{3} \left(7 - 3 \cdot 2\right)\\&=9 \left(5 + 9\right) - 3 \cdot 12 \cdot 3 + {2}^{3} \left(7 - 3 \cdot 2\right)\\&=9 \cdot 14 - 3 \cdot 12 \cdot 3 + {2}^{3} \left(7 - 3 \cdot 2\right)\\&=126 - 3 \cdot 12 \cdot 3 + {2}^{3} \left(7 - 3 \cdot 2\right)\\&=126 - 3 \cdot 36 + {2}^{3} \left(7 - 3 \cdot 2\right)\\&=126 - 108 + {2}^{3} \left(7 - 3 \cdot 2\right)\\&=18 + {2}^{3} \left(7 - 3 \cdot 2\right)\\&=18 + 8 \left(7 - 3 \cdot 2\right)\\&=18 + 8 \left(7 - 6\right)\\&=18 + 8 \cdot 1\\&=18 + 8\\&=26\end{aligned}

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