Factorise x^3+1/x^3-2
Answers
Answer:
Step-by-step explanation:
x^3 + 1/x^3 - 2
=x^3+1/x^3+1 -3
=(x)^3+(1/x)^3 +(1)^3–3.x.1/x.1
=(x+1/x+1)(x^2+1/x^2+1^2-x.1/x-1/x.1–1.x)
=(x+1/x+1)(x^2+1/x^2+1–1–1/x-x)
=(x+1/x+1)(x^2+1/x^2–1/x-x)
Answer:
a^3+.b^3+c^.3-3.a.b.c=(a+b+c) (a^2+b^2+c^2-a.b-b
c-ca)............................................................................................(1)
x^3+1/x^3-2
=x^3+1/x^3+1-3
=(x)^3+(1/x)^3+(1)^.3-3.x.1/x.1
=(x+1/x+1)(x^2+1/x^2+1^2-x.1/x-1/x.1-1.x
=(x+1/x+1)x^2+1/x^2+1-1-1/x-x)
=(x+1/x+1)(x^2+1/x^2-1/x-x),................(answer)
Answer:
a^3+.b^3+c^.3-3.a.b.c=(a+b+c) (a^2+b^2+c^2-a.b-b
c-ca)............................................................................................(1)
x^3+1/x^3-2
=x^3+1/x^3+1-3
=(x)^3+(1/x)^3+(1)^.3-3.x.1/x.1
=(x+1/x+1)(x^2+1/x^2+1^2-x.1/x-1/x.1-1.x
=(x+1/x+1)x^2+1/x^2+1-1-1/x-x)
=(x+1/x+1)(x^2+1/x^2-1/x-x),................(answer)