Simplify 4(4^2-8)+(25-5^2)

$4 (4^{2} - 8) + (25 - 5^{2})$

Step 1

Remove parentheses.

$4 (4^{2} - 8) + 25 - 5^{2}$

Step 2

Simplify each term.

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

$4 (16 - 8) + 25 - 5^{2}$

Subtract $8$ from $16$ .

$4 \cdot 8 + 25 - 5^{2}$

Multiply $4$ by $8$ .

$32 + 25 - 5^{2}$

Raise $5$ to the power of $2$ .

$32 + 25 - 1 \cdot 25$

Multiply $- 1$ by $25$ .

$32 + 25 - 25$

$32 + 25 - 25$

Step 3

Simplify by adding and subtracting.

Add $32$ and $25$ .

$57 - 25$

Subtract $25$ from $57$ .

$32$

$32$

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