Q13. - Algebra 2

Question

Simplify $(2z-1)(2z+1)$ .

Step-by-Step Solution

Answer

The simplified value of expression is $(2z-1)(2z+1)=4z^2-1$ .

Step 1. Write down the given expression.

The given expression to simplify is $(2z-1)(2z+1)$ .

Step 2. Simplify the given expression.

Simplifying $(2z-1)(2z+1)$  gives,

$\begin{array}{c}(2z-1)(2z+1)=2z(2z+1)-1(2z+1)\\ =4z^2+2z-2z-1\\ =4z^2-1\end{array}$

Step 3. Conclusion.

The simplified value of expression is $(2z-1)(2z+1)=4z^2-1$ .