Question

Use Suitable Identities To Find The Following Products:

(iv) [x²+1/x²] [x²-1/x²]
(v) (1+x) (1+x)​

Answer 1

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}

Answer 2

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