SOLUTION: Use the difference of squares along with factoring by grouping. p<sup>4</sup> - 10p<sup>2</sup> + 25 - t<sup>4</sup>

Algebra.Com
Question 513064: Use the difference of squares along with factoring by grouping.
p4 - 10p2 + 25 - t4
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
p4 - 10p2 + 25 - t4

Factor the first three terms 

(p2-5)(p2-5) - t4

(p2-5)2 - t4

Factor as the difference of squares:

[(p2-5) - t2][(p2-5) + t2]

Remove the inner parentheses 

[p2 - 5 - t2][p2 - 5 + t2]
 
Change the brackets to parentheses:

(p2 - 5 - t2)(p2 - 5 + t2)

It's customary to put the constant term last:

(p2 - t2 - 5)(p2 + t2 -5)

Edwin
RELATED QUESTIONS

Find all solutions of the equations. 1. x6 - 64 = 0 2. 9x4 -... (answered by AnlytcPhil)
I need help with this PLEASE!!! Factor. Check by multiplying.... (answered by AnlytcPhil)
 54x6y-4z2
------------... (answered by AnlytcPhil)


 7x3y2 - 21x2y + 35x3y4... (answered by AnlytcPhil)

I need help factoring this problem 9y6-27y4+18y2+6 
 (answered by Edwin McCravy)

factor 15x4-10x2-30x
 (answered by sofiyac,Edwin McCravy)

Factor completely:
1) y³ - 3y² - 4y + 12

2) 2x³ + 6x² - 8x - 24

Factor:... (answered by AnlytcPhil)

For what integer n > 0 does (100k)2(100k)2 =... (answered by Edwin McCravy)

Find the value of k that will make x-2 a factor of... (answered by Edwin McCravy)