What is -2-(-3)^2+(7-5)^2 ?

The solution to -2-(-3)^2+(7-5)^2 is -7

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-2-(-3)^2+(7-5)^2

- 2 - (- 3)^{2} + (7 - 5)^{2}

- 7

Solution steps

- 2 - (- 3)^{2} + (7 - 5)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(7 - 5) : 2

7 - 5

7 - 5 = 2

= 2

= - 2 - (- 3)^{2} + 2^{2}

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= - 2 - 9 + 2^{2}

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= - 2 - 9 + 4

Add and subtract (left to right)

- 2 - 9 + 4 : - 7

- 2 - 9 + 4

- 2 - 9 = - 11

= - 11 + 4

- 11 + 4 = - 7

= - 7

= - 7

- 2 (- 3 + (- 5 + 3) - 3 (4 - 6) + 11)

\frac{1}{2} (1)^{3} + 5 (1)^{2} - 2 (1)

(0)^{2} - 5 (0) + 1

- 11 (2) + (- 11) + 9

1 0^{2} - 2 \times 4