Algebra Examples

$25 + 3 {(4^{2} - 3^{2})}^{2} - 5 (62 - 5 \cdot 3^{2})$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

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

$25 + 3 {(16 - 3^{2})}^{2} - 5 (62 - 5 \cdot 3^{2})$

Step 1.1.2

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

$25 + 3 {(16 - 1 \cdot 9)}^{2} - 5 (62 - 5 \cdot 3^{2})$

Step 1.1.3

Multiply $- 1$ by $9$ .

$25 + 3 {(16 - 9)}^{2} - 5 (62 - 5 \cdot 3^{2})$

Step 1.2

Subtract $9$ from $16$ .

$25 + 3 \cdot 7^{2} - 5 (62 - 5 \cdot 3^{2})$

Step 1.3

Raise $7$ to the power of $2$ .

$25 + 3 \cdot 49 - 5 (62 - 5 \cdot 3^{2})$

Step 1.4

Multiply $3$ by $49$ .

$25 + 147 - 5 (62 - 5 \cdot 3^{2})$

Step 1.5

Simplify each term.

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Step 1.5.1

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

$25 + 147 - 5 (62 - 5 \cdot 9)$

Step 1.5.2

Multiply $- 5$ by $9$ .

$25 + 147 - 5 (62 - 45)$

Step 1.6

Subtract $45$ from $62$ .

$25 + 147 - 5 \cdot 17$

Step 1.7

Multiply $- 5$ by $17$ .

$25 + 147 - 85$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $25$ and $147$ .

$172 - 85$

Step 2.2

Subtract $85$ from $172$ .

$87$