3
3 (a) Expand \( (a-5)(a+3) \).
[2]
(b) Simplify \( \frac{15 p^{3} q^{2}}{12 p^{2} q^{3}} \).
[1]
4 Given that \( 77^{2}-67^{2}=5 k \), find the value of \( k \).
\[
k=
\]
5 The \( n \)th term of the sequence \( 0,9,22,39, \ldots \) is \( T_{n}=a n^{2}+b n-5 \), where \( a \) and \( b \) are integers.
Find the value of \( a \) and the value of \( b \).
\[
\begin{array}{l}
a=\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . . \\
b=\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . \mid \text { [3] }
\end{array}
\]
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0178/02/M/J/23
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