Q 177 - Intermediate Algebra

Question

In the following exercises, factor completely using the difference of squares pattern, if possible.
$4-49x^2$

Step-by-Step Solution

Answer

The complete factor of trinomial is $\left(2-7x\right)\left(2+7x\right)$.

Step 1. Given information

Consider the given trinomial.

$4-49x^2$

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.

$4-49x^2=2^2-{\left(7x\right)}^2$

Write them as product of conjugate.

$2^2-{\left(7x\right)}^2=\left(2-7x\right)\left(2+7x\right)$