pls solve and factorise
Answers
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