Use Suitable Identities To Find The Following Products:
(iv) [x²+1/x²] [x²-1/x²]
(v) (1+x) (1+x)
Answers
Answered by
4
Step-by-step explanation:
A) [x²+1/x²] [x²-1/x²]
= [x⁴-1/x⁴] {(x+y)(x-y) = x²-y²}
B) (1+x) (1+x)
= (1+x)² {x . x = x²}
Answered by
3
Answer:
(iv) x⁴ - 1/x⁴
(v) 1 + 2x + x²
Step-by-step explanation:
Use Suitable Identities To Find The Following Products:
(iv) (x²+1/x²) (x²-1/x²)
Ans. (x²+1/x²) (x²-1/x²)
[By using identity: (a+b)(a-b) = a² - b²]
= (x²)² - (1/x²)²
= x⁴ - 1/x⁴
(v) (1+x) (1+x)
Ans. (1+x) (1+x)
= (1+x)²
[By using identity: (a+b)² = a² + 2ab + b²]
= 1² + 2×1×x + x²
= 1 + 2x + x²
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