What is 4((-4)-11)^2+4 ?

The solution to 4((-4)-11)^2+4 is 904

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4((-4)-11)^2+4

4 ((- 4) - 11)^{2} + 4

904

Solution steps

4 ((- 4) - 11)^{2} + 4

Follow the PEMDAS order of operations

Calculate within parentheses

((- 4) - 11) : - 15

(- 4) - 11

(- 4) - 11 = - 15

= - 15

= 4 (- 15)^{2} + 4

Calculate exponents

(- 15)^{2} : 225

(- 15)^{2}

Apply exponent rule:

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

n

is even

(- 15)^{2} = 1 5^{2} = 225

= 225

= 4 \cdot 225 + 4

Multiply and divide (left to right)

4 \cdot 225 : 900

4 \cdot 225

4 \cdot 225 = 900

= 900

= 900 + 4

Add and subtract (left to right)

900 + 4 : 904

900 + 4

900 + 4 = 904

= 904

= 904

(7 - 1 + 6)

- (- 4 + \frac{- 8}{3} + \frac{16}{4})

\frac{- 2}{3} (\frac{10}{2} + (- 2) + 6)

3 - 60 + 54 \times 4 + 6

3 (3) - 2 (- 1) + 4