Q.227. - Intermediate Algebra

Question

Solve the square using the binomial squares pattern.

${\left(8p^3-3\right)}^2$

Step-by-Step Solution

Answer

The solution is $64p^6-48p^3+9$.

Step 1. Given information.

The given expression is ${\left(8p^3-3\right)}^2$.

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:

$$\begin{gathered} {\left(8p^3-3\right)}^2={\left(8p^3\right)}^2-2\times 8p^3\times 3+3^2 \\ \Rightarrow 64p^6-48p^3+9 \end{gathered}$$

Step 3. Binomial squares expression.

Hence, the binomial squares pattern are $64p^6-48p^3+9$.