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Chapter 6: Q 188 (page 601)

In the following exercises, factor completely using the difference of squares pattern, if possible.
m4-n4

Short Answer

Expert verified

The complete factor of ploynomial is m-nm+nm2+n2.

Step by step solution

01

Step 1. Given information  

Consider the given ploynomial

m4-n4

02

Step 2. Formula used

a2-b2=a+ba-b

03

Step 3.  Write the polynomial as squares.   

Write the polynomial as perfect squared form.

m4-n4=m22-n22

Write them as product of conjugate.

m22-n22=m2-n2m2+n2=m-nm+nm2+n2

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