Q.241. - Intermediate Algebra

Question

Find the product of the below expression.

${\left(t-9\right)}^2$

Step-by-Step Solution

Answer

The solution is $t^2-18t+81$.

Step 1. Given information.

The given expression is ${\left(t-9\right)}^2$.

Step 2. Simplify the given expression by using the binomial squares pattern a - b 2 = a 2 - 2 a b + b 2 .

Solve it as follows:
$$\begin{gathered} {\left(t-9\right)}^2={\left(t\right)}^2-2\times t\times 9+{\left(9\right)}^2 \\ \Rightarrow t^2-18t+81 \end{gathered}$$

Step 3. Simplified expression.

Hence, the required expression is$t^2-18t+81$.