Q7 of 81 Page 161

If let us calculate the simplified value of

Formula used.


(a-b)3 = a3-b3-3ab(a-b)


If x = 2 + √3


Then;



Simplifying it we get;



= = 2-√3


x – = 2 + √3 – [2 - √3]


= 2√3


(x – )3 = x3- 3-3 × x × × (x – )


(x – )3 = x3- -3 × 1 × (x – )


(2√3)3 = x3- -3 × (2√3)


x3 - = 24√3 + 6√3


x3 - = 30√3


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