Calculus Examples

$y = (2 {(- 5)}^{2} - (- 5) + 3) (2 - 3 \cdot - 5 - {(- 5)}^{2})$

Step 1

Simplify each term.

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Step 1.1

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

$y = (2 \cdot 25 - (- 5) + 3) (2 - 3 \cdot - 5 - {(- 5)}^{2})$

Step 1.2

Multiply $2$ by $25$ .

$y = (50 - (- 5) + 3) (2 - 3 \cdot - 5 - {(- 5)}^{2})$

Step 1.3

Multiply $- 1$ by $- 5$ .

$y = (50 + 5 + 3) (2 - 3 \cdot - 5 - {(- 5)}^{2})$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $50$ and $5$ .

$y = (55 + 3) (2 - 3 \cdot - 5 - {(- 5)}^{2})$

Step 2.2

Add $55$ and $3$ .

$y = 58 (2 - 3 \cdot - 5 - {(- 5)}^{2})$

Step 3

Simplify each term.

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Step 3.1

Multiply $- 3$ by $- 5$ .

$y = 58 (2 + 15 - {(- 5)}^{2})$

Step 3.2

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

$y = 58 (2 + 15 - 1 \cdot 25)$

Step 3.3

Multiply $- 1$ by $25$ .

$y = 58 (2 + 15 - 25)$

Step 4

Simplify the expression.

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Step 4.1

Add $2$ and $15$ .

$y = 58 (17 - 25)$

Step 4.2

Subtract $25$ from $17$ .

$y = 58 \cdot - 8$

Step 4.3

Multiply $58$ by $- 8$ .

$y = - 464$