Question

# Simplify: $$[9-{14-(19-\overline{14-12})}]-(14-\overline{15+12})$$

Solution

## The BODMAS rule can simplify any expression using these steps of solving:Brackets (parts of a calculation inside brackets always come first).Orders (numbers involving powers or square roots).DivisionMultiplicationAdditionSubtractionNow, using BODMAS rule, we solve the given expression $$\left[ 9−\left\{ 14−\left( 19−\overline { 14-12 } \right) \right\} \right] −\left( 14−\overline { 15+12 } \right)$$ as follows:$$\left[ 9−\left\{ 14−\left( 19−\overline { 14-12 } \right) \right\} \right] −\left( 14−\overline { 15+12 } \right) \\ =\left[ 9−\left\{ 14−\left( 19−2 \right) \right\} \right] −\left( 14−27 \right) \\ =\left[ 9−\left\{ 14−17 \right\} \right] −\left( −13 \right)$$$$=\left[ 9−\left( −3 \right) \right] +13\\ =\left[ 9+3 \right] +13\\ =12+13\\ =25$$ Hence, $$\left[ 9−\left\{ 14−\left( 19−\overline { 14-12 } \right) \right\} \right] −\left( 14−\overline { 15+12 } \right)=25$$Mathematics

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