Q 178 - Intermediate Algebra

Question

In the following exercises, factor completely using the difference of squares pattern, if possible.

$121-25s^2$

Step-by-Step Solution

Answer

The complete factor of trinomial $\left(11-5s\right)\left(11+5s\right)$

Step 1. Given information

Consider the given trinomial.

$121-25s^2$

Step 2. Formula used

$a^2-b^2=\left(a+b\right)\left(a-b\right)$

Step 3. Write the trinomial as squares.

Write the trinomial as perfect squared form.

$121-25s^2={11}^2-{\left(5s\right)}^2$

Write them as product of conjugate.

${11}^2-{\left(5s\right)}^2=\left(11-5s\right)\left(11+5s\right)$