Precalculus Examples

$p (t) = 4 t - 5$ ; Find $p (t - 2)$

Step 1

Replace the variable $t$ with $t - 2$ in the expression.

$p (t - 2) = 4 (t - 2) - 5$

Step 2

Simplify $4 (t - 2) - 5$ .

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Step 2.1

Remove parentheses.

$4 (t - 2) - 5$

Step 2.2

Simplify each term.

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Step 2.2.1

Apply the distributive property.

$4 t + 4 \cdot - 2 - 5$

Step 2.2.2

Multiply $4$ by $- 2$ .

$4 t - 8 - 5$

Step 2.3

Subtract $5$ from $- 8$ .

$4 t - 13$