Simplify 2(4^2+3)+(6-2^2)

$2 (4^{2} + 3) + (6 - 2^{2})$

Step 1

Remove parentheses.

$2 (4^{2} + 3) + 6 - 2^{2}$

Step 2

Simplify each term.

Raise $4$ to the power of $2$ .

$2 (16 + 3) + 6 - 2^{2}$

Add $16$ and $3$ .

$2 \cdot 19 + 6 - 2^{2}$

Multiply $2$ by $19$ .

$38 + 6 - 2^{2}$

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

$38 + 6 - 1 \cdot 4$

Multiply $- 1$ by $4$ .

$38 + 6 - 4$

$38 + 6 - 4$

Step 3

Simplify by adding and subtracting.

Add $38$ and $6$ .

$44 - 4$

Subtract $4$ from $44$ .

$40$

$40$

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