Q 183 - Intermediate Algebra

Question

In the following exercises, factor completely using the difference of squares pattern, if possible.
$121x^2-144y^2$

Step-by-Step Solution

Answer

The complete factor of trinomial is $\left(11x-12y\right)\left(11x+12y\right)$.

Step 1. Given information

Consider the given trinomial.

$121x^2-144y^2$

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.

$121x^2-144y^2={\left(11x\right)}^2-{\left(12y\right)}^2$

Write them as product of conjugate.

${\left(11x\right)}^2-{\left(12y\right)}^2=\left(11x-12y\right)\left(11x+12y\right)$