Basic Math Examples

${(- 1.63 t)}^{2} + 8 t + 100$

Step 1

Let $u = t$ . Substitute $u$ for all occurrences of $t$ .

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Step 1.1

Apply the product rule to $- 1.63 u$ .

${(- 1.63)}^{2} u^{2} + 8 u + 100$

Step 1.2

Raise $- 1.63$ to the power of $2$ .

$2.6569 u^{2} + 8 u + 100$

Step 2

Factor $0.0001$ out of $2.6569 u^{2} + 8 u + 100$ .

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Step 2.1

Factor $0.0001$ out of $2.6569 u^{2}$ .

$0.0001 (26569 u^{2}) + 8 u + 100$

Step 2.2

Factor $0.0001$ out of $8 u$ .

$0.0001 (26569 u^{2}) + 0.0001 (80000 u) + 100$

Step 2.3

Factor $0.0001$ out of $100$ .

$0.0001 (26569 u^{2}) + 0.0001 (80000 u) + 0.0001 (1000000)$

Step 2.4

Factor $0.0001$ out of $0.0001 (26569 u^{2}) + 0.0001 (80000 u)$ .

$0.0001 (26569 u^{2} + 80000 u) + 0.0001 (1000000)$

Step 2.5

Factor $0.0001$ out of $0.0001 (26569 u^{2} + 80000 u) + 0.0001 (1000000)$ .

$0.0001 (26569 u^{2} + 80000 u + 1000000)$

Step 3

Replace all occurrences of $u$ with $t$ .

$0.0001 (26569 t^{2} + 80000 t + 1000000)$