Question

Solve the square using the binomial squares pattern.

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

Short answer

The solution is$64p^6-48p^3+9$.

Step-by-step solution

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-b2=a2-2ab+b2.

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$64p^6-48p^3+9$.