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Question
Evaluate the
(iii)\[\left( 1 + 2 \sqrt{x} \right)^5 + \left( 1 - 2 \sqrt{x} \right)^5\]
Solution
(iii) \[(1 + 2\sqrt{x} )^5 + (1 - 2\sqrt{x} )^5 \]
\[ = 2[ ^{5}{}{C}_0 (2\sqrt{x} )^0 +^{5}{}{C}_2 (2\sqrt{x} )^2 + ^{5}{}{C}_4 (2\sqrt{x} )^4 ]\]
\[ = 2[1 + 10 \times 4x + 5 \times 16 x^2 ]\]
\[ = 2[1 + 40x + 80 x^2 ]\]
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