Q 166. - Intermediate Algebra

Question

In the following exercises, factor completely using the perfect square trinomials pattern.

$4p^2-52p+169$

Step-by-Step Solution

Answer

The factor of the trinomial is ${\left(2p-13\right)}^2$.

Step 1. Given information.

Consider the given trinomial.

$4p^2-52p+169$

Step 2. Formula used

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

Step 3. Find the factor of perfect square trinomial.

The middle term of the trinomial is negative, so the binomial square will be of the form  ${\left(a-b\right)}^2$.

${\left(2p\right)}^2-2·2p·13+{\left(13\right)}^2$

Write factor

${\left(2p-13\right)}^2$