What is ((3)^2-2(-2)(4))^2 ?

The solution to ((3)^2-2(-2)(4))^2 is 625

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((3)^2-2(-2)(4))^2

((3)^{2} - 2 (- 2) (4))^{2}

625

Solution steps

((3)^{2} - 2 (- 2) (4))^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

((3)^{2} - 2 (- 2) (4)) : 25

(3)^{2} - 2 (- 2) (4)

Calculate exponents

(3)^{2} : 9

(3)^{2}

(3)^{2} = 9

= 9

= 9 - 2 (- 2) (4)

Multiply and divide (left to right)

2 (- 2) (4) : - 16

2 (- 2) (4)

Apply rule

a \cdot (- b) = - a \cdot b

2 (- 2) = - 2 \cdot 2 = - 4

= - 4 (4)

Apply rule

(- a) \cdot (b) = - a \cdot b

(- 4) (4) = - 4 \cdot 4 = - 16

= - 16

= 9 - (- 16)

Add and subtract (left to right)

9 - (- 16) : 25

9 - (- 16)

Apply rule

- (- a) = + a

- (- 16) = + 16

= 9 + 16

9 + 16 = 25

= 25

= 25

= 2 5^{2}

Calculate exponents

2 5^{2} : 625

2 5^{2}

2 5^{2} = 625

= 625

= 625

(91 + 199) \div 17 - 2 \times (4 + 3) + 1

\frac{5}{3} + (25 - 1) \times \frac{3}{2}

(11 - 10)^{2}

0^{2} - 49

(8 \div 3) + 4