Q.228. - Intermediate Algebra

Question

Multiply each pair of conjugates using the product of the conjugates pattern.

$\left(5k+6\right)\left(5k-6\right)$

Step-by-Step Solution

Answer

The solution is $25k^2-36$.

Step 1. Given information.

The given expression is $\left(5k+6\right)\left(5k-6\right)$.

Step 2. Simplify the expression by using the difference of squares a + b a - b = a 2 - b 2 .

Solve it as follows:

$$\begin{gathered} \left(5k+6\right)\left(5k-6\right)={\left(5k\right)}^2-{\left(6\right)}^2 \\ \Rightarrow 25k^2-36 \end{gathered}$$

Step 3. Binomial squares expression.

Hence, the binomial squares pattern are $25k^2-36$.