Evaluate -(5-3)^2+(8+2)-3(4-1)^2

$- {(5 - 3)}^{2} + (8 + 2) - 3 {(4 - 1)}^{2}$

Step 1

Remove parentheses.

$- {(5 - 3)}^{2} + 8 + 2 - 3 {(4 - 1)}^{2}$

Step 2

Simplify each term.

Subtract $3$ from $5$ .

$- 2^{2} + 8 + 2 - 3 {(4 - 1)}^{2}$

Raise $2$ to the power of $2$ .

$- 1 \cdot 4 + 8 + 2 - 3 {(4 - 1)}^{2}$

Multiply $- 1$ by $4$ .

$- 4 + 8 + 2 - 3 {(4 - 1)}^{2}$

Subtract $1$ from $4$ .

$- 4 + 8 + 2 - 3 \cdot 3^{2}$

Raise $3$ to the power of $2$ .

$- 4 + 8 + 2 - 3 \cdot 9$

Multiply $- 3$ by $9$ .

$- 4 + 8 + 2 - 27$

$- 4 + 8 + 2 - 27$

Step 3

Simplify by adding and subtracting.

Add $- 4$ and $8$ .

$4 + 2 - 27$

Add $4$ and $2$ .

$6 - 27$

Subtract $27$ from $6$ .

$- 21$

$- 21$

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