X^4 multiply 1/x
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= x^4 × 1/x
= x^3
here is your answer
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Answered by
1
Answer:
hey mate,
Step-by-step explanation:
→ ( x ²+ 1/x ²)² = x^4 + 1/x ^4 + 2x^2 X 1/x^2 ( x² and x² cancels here).
→ ( x ² + 1/x² ) ² = 47 + 2 = 49
→ x²+ 1 / x² = √ 49 = 7 ( 1) equation
→ ( x + 1/x) ² = x² + 1/x²+ 2x X 1/x ( here x and x cancels)
→ ( x + 1/x) ² = ( x² + 1/x²) + 2
→ ( x + 1/x) 2 = 7 + 2 = 9
→ x + 1 /x= √ 9 = 3
→ Now, using this [A³ + B³ = A³+ B³+ 3AB (A+B)]
→ ( X + 1/X)³ = X³ + 1/X³ + 3X.1/X ( X+1/X)
→ (3) ³ = X³ + 1/X³+ 3(3)
→ 27 = x³ + 1/x³ + 9
→ 27 - 9 = x³ + 1/x³
→ [18 = x³+ 1/x ³]
Note: use this [A³ + B³ = A³+ B³+ 3AB (A+B)] really important]
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