Question

(√15-√11)^3*(√15+√11)^3

Answer 1

((√15-√11)*(√15+√11))³= (15-11)³= 4³= 64

Answer 2

$(( \sqrt{15}- \sqrt{11})( \sqrt{15}+ \sqrt{11}))^3=(15-11)^3=4^3=64$
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Answer 3

To simplify the expression (√15 - √11)^3 * (√15 + √11)^3, we can use the identity for the difference of cubes:

(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3.

In this case, a = √15 and b = √11. So, we can rewrite the expression as:

(√15 - √11)^3 * (√15 + √11)^3 = (√15)^3 - 3(√15)^2(√11) + 3(√15)(√11)^2 - (√11)^3 = 15√15 - 3(15)(√11) + 3(√15)(11) - 11√11 = 15√15 - 45√11 + 33√15 - 11√11 = (15√15 + 33√15) - (45√11 + 11√11) = 48√15 - 56√11.

So, the simplified expression is 48√15 - 56√11.