y -1/y=3+root 2 what is the value of y-1/y whole cube
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Answer:
45 root 2
Step-by-step explanation:
y-1/y =3+✓2
y^3-1/y^3
(y-1/y)^3= y^3 -1/y^3 - 3×y×1/y(y-1/y)
(3+✓2)^3=y^3-1/y^3-3(3+✓2)
(3)^3+(✓2)^3+3×3×✓2(3+✓2)
27+✓2+9✓2+3+✓2
36+3✓2
39✓2 =y^3 -1/y^3 -9+3✓2
39✓2+9 -3✓2 =y^3 - 1/y^3
48-3✓2
45✓2
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