Math, asked by anjaligaba35, 1 month ago

pls solve and factorise​

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Answers

Answered by lexi2424
3

Answer:

((x8) - (2•17x4)) + 225

Step-by-step explanation:

The first term is,  x8  its coefficient is  1 .

The middle term is,  -34x4  its coefficient is  -34 .

The last term, "the constant", is  +225 

Step-1 : Multiply the coefficient of the first term by the constant   1 • 225 = 225 

Step-2 : Find two factors of  225  whose sum equals the coefficient of the middle term, which is   -34 .

     -225   +   -1   =   -226     -75   +   -3   =   -78     -45   +   -5   =   -50     -25   +   -9   =   -34   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -25  and  -9 

                     x8 - 25x4 - 9x4 - 225

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

                    x4 • (x4-25)

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

                    9 • (x4-25)

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

                    (x4-9)  •  (x4-25)

             Which is the desired factorization

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