Factors of 9x^3 -25x^7
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the factors are x³(3-5x²)(3+5x²)
Answer:
x3 • (sof9 - 25x4)
Step-by-step explanation:
Equation at the end of step 1
((so • (f9)) • (x3)) - 52x7
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
sof9x3 - 25x7 = x3 • (sof9 - 25x4)
Trying to factor as a Difference of Cubes:
3.2 Factoring: sof9 - 25x4
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3