<p>In the expansion of \( (1+ x)^{15}\), let</p>
<ul class="bullet-list"><li data-list-item-id="item-1782888296589-jmpcxj6np" data-list-item-path="item-1782888296589-jmpcxj6np"><div class="list-item-paragraph">\(A\) be the sum of coefficients of odd powers of \(x\)</div></li><li data-list-item-id="item-1782888297162-pi7hl7anp" data-list-item-path="item-1782888297162-pi7hl7anp"><div class="list-item-paragraph">\(B\) be the sum of coefficients of even powers of \(x\)</div></li></ul>
<p>Without evaluating individual coefficients,<br>Find \(A\) and \(B\).<br><br>Generalise your result for&nbsp;\( (1 + x)^n\).</p>

In the expansion of \( (1+ x)^{15}\), let

\(A\) be the sum of coefficients of odd powers of \(x\)

\(B\) be the sum of coefficients of even powers of \(x\)

Without evaluating individual coefficients,
Find \(A\) and \(B\).

Generalise your result for \( (1 + x)^n\).

Binomial Theorem

Binomial Theorem