100-2*{8+[3*(36/9+2)]+(10-4)^2}=

asked by guest
on Nov 15, 2024 at 3:42 am



You asked:

Evaluate the expression: 100−2(8+3(369+2)+(10−4)2)100 - 2 \left(8 + 3 \left(\frac{36}{9} + 2\right) + {\left( 10 - 4 \right)}^{2}\right)

MathBot Answer:

100−2(8+3(369+2)+(10−4)2)=−24100 - 2 \left(8 + 3 \left(\frac{36}{9} + 2\right) + {\left( 10 - 4 \right)}^{2}\right) = -24

100−2(8+3(369+2)+(10−4)2)=100−2(8+3(4+2)+(10−4)2)=100−2(8+3⋅6+(10−4)2)=100−2(8+18+(10−4)2)=100−2(26+(10−4)2)=100−2(26+62)=100−2(26+36)=100−2⋅62=100−124=−24\begin{aligned}100 - 2 \left(8 + 3 \left(\frac{36}{9} + 2\right) + {\left( 10 - 4 \right)}^{2}\right)&=100 - 2 \left(8 + 3 \left(4 + 2\right) + {\left( 10 - 4 \right)}^{2}\right)\\&=100 - 2 \left(8 + 3 \cdot 6 + {\left( 10 - 4 \right)}^{2}\right)\\&=100 - 2 \left(8 + 18 + {\left( 10 - 4 \right)}^{2}\right)\\&=100 - 2 \left(26 + {\left( 10 - 4 \right)}^{2}\right)\\&=100 - 2 \left(26 + {6}^{2}\right)\\&=100 - 2 \left(26 + 36\right)\\&=100 - 2 \cdot 62\\&=100 - 124\\&=-24\end{aligned}

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