Math, asked by ShreyaKumari5577, 5 months ago

factorise
144p2 - 169
x⁴+169+26x²

Answers

Answered by itzzbiswaaa
71

Answer:Factoring  x4-169x2+3600  

The first term is,  x4  its coefficient is  1 .

The middle term is,  -169x2  its coefficient is  -169 .

The last term, "the constant", is  +3600  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 3600 = 3600  

Step-2 : Find two factors of  3600  whose sum equals the coefficient of the middle term, which is   -169 .

     -3600    +    -1    =    -3601  

     -1800    +    -2    =    -1802  

     -1200    +    -3    =    -1203  

     -900    +    -4    =    -904  

     -720    +    -5    =    -725  

     -600    +    -6    =    -606  

     -450    +    -8    =    -458  

     -400    +    -9    =    -409  

     -360    +    -10    =    -370  

     -300    +    -12    =    -312  

     -240    +    -15    =    -255  

     -225    +    -16    =    -241  

     -200    +    -18    =    -218  

     -180    +    -20    =    -200  

     -150    +    -24    =    -174  

     -144    +    -25    =    -169    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -144  and  -25  

                    x4 - 144x2 - 25x2 - 3600

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x2 • (x2-144)

             Add up the last 2 terms, pulling out common factors :

                   25 • (x2-144)

Step-5 : Add up the four terms of step 4 :

                   (x2-25)  •  (x2-144)

HOPE IT HELPS U

MARK AS BRAINLIAST

Answered by Anonymous
10

Answer:

(12p)² - (13)²

(12p +13)(12p -13)

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