Q21. - Algebra 1

Question

Find each product.

$\left(2b-5\right)\left(2b+5\right)$

Step-by-Step Solution

Answer

The required product is represented by $\mathbf{4}{\mathit{b}}^{\mathbf{2}}\mathbf{-}\mathbf{25}$.

Step 1. Determine the identity of polynomial that can be used.

The provided polynomial indicates the left side of the identity $\left(a+b\right)\left(a-b\right)=a^2-b^2$ so this identity can be used.

Step 2. Take the help of obtained identity.

Substitute 2b in place of a and 5 in place of b into the right side of obtained identity.

${\left(2b\right)}^2-{\left(5\right)}^2$

Step 3. Perform the simplification.

Write the exponential terms in simplest form

$4b^2-25$