Trigonometry Examples

$y = - 28 {(27.375)}^{2} + 1533 {(27.375)}^{2} - 12384$

Step 1

Remove parentheses.

$y = - 28 \cdot {27.375}^{2} + 1533 {(27.375)}^{2} - 12384$

Step 2

Remove parentheses.

$y = - 28 \cdot {27.375}^{2} + 1533 \cdot {27.375}^{2} - 12384$

Step 3

Simplify $- 28 \cdot {27.375}^{2} + 1533 \cdot {27.375}^{2} - 12384$ .

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Step 3.1

Simplify each term.

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Step 3.1.1

Raise $27.375$ to the power of $2$ .

$y = - 28 \cdot 749.390625 + 1533 \cdot {27.375}^{2} - 12384$

Step 3.1.2

Multiply $- 28$ by $749.390625$ .

$y = - 20982.9375 + 1533 \cdot {27.375}^{2} - 12384$

Step 3.1.3

Raise $27.375$ to the power of $2$ .

$y = - 20982.9375 + 1533 \cdot 749.390625 - 12384$

Step 3.1.4

Multiply $1533$ by $749.390625$ .

$y = - 20982.9375 + 1148815.828125 - 12384$

Step 3.2

Simplify by adding and subtracting.

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Step 3.2.1

Add $- 20982.9375$ and $1148815.828125$ .

$y = 1127832.890625 - 12384$

Step 3.2.2

Subtract $12384$ from $1127832.890625$ .

$y = 1115448.890625$