Question

What is the value of 2√1-x^3×2√1+x^3

Answer 1

Answer:

$4(\sqrt{1-x^6} )$

Explanation:

Given that,

$(2\sqrt{1-x^3}) X (2\sqrt{1+x^3})$                           (∵ a√b × a√c = a²√(bc) )

⇒ 2²($\sqrt{(1-x^3)(1+x^3)}$ )

⇒4($\sqrt{1^2 - (x^3)^2$)                       (∵ (a-b)(a+b) = (a²-b²) )

⇒4($\sqrt{1-x^6}$)

∴$(2\sqrt{1-x^3} )(2\sqrt{1+x^3}) = 4(\sqrt{1-x^6})$

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