What is -(38-47)^2+3209 ?

The solution to -(38-47)^2+3209 is 3128

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-(38-47)^2+3209

- (38 - 47)^{2} + 3209

3128

Solution steps

- (38 - 47)^{2} + 3209

Follow the PEMDAS order of operations

Calculate within parentheses

(38 - 47) : - 9

38 - 47

38 - 47 = - 9

= - 9

= - (- 9)^{2} + 3209

Calculate exponents

(- 9)^{2} : 81

(- 9)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 9)^{2} = 9^{2} = 81

= 81

= - 81 + 3209

Add and subtract (left to right)

- 81 + 3209 : 3128

- 81 + 3209

- 81 + 3209 = 3128

= 3128

= 3128

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2 (5 - 3) + (5 + 6)

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- [3 - (2 - (- 3))] - [4 - (- 5 - (2 - 5) - 2)]

8 (- 3) - 4