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<html>
<head>
<title>Multiplication Grid Question</title>
<style>
body {
font-family: Arial, sans-serif;
margin: 30px;
line-height: 1.6;
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h2 {
color: #2c3e50;
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table {
border-collapse: collapse;
margin-top: 15px;
}
td {
border: 1px solid #000;
padding: 12px;
text-align: center;
min-width: 100px;
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.answer {
margin-top: 20px;
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</head>
<body>
<h2>Question</h2>
<p>
Observe the multiplication grid below. Each number inside the grid is formed by
multiplying two numbers. If the middle number of a 3 × 3 frame is given by the
expression <strong>pq</strong>, write the expressions for the other numbers in the grid.
</p>
<div class=”answer”>
<h2>Answer</h2>
<p>
Since the middle number is <strong>pq</strong>, the row numbers are
(p − 1), p, and (p + 1), while the column numbers are
(q − 1), q, and (q + 1).
</p>
<table>
<tr>
<td>(p−1)(q−1)</td>
<td>(p−1)q</td>
<td>(p−1)(q+1)</td>
</tr>
<tr>
<td>p(q−1)</td>
<td><strong>pq</strong></td>
<td>p(q+1)</td>
</tr>
<tr>
<td>(p+1)(q−1)</td>
<td>(p+1)q</td>
<td>(p+1)(q+1)</td>
</tr>
</table>
<h3>Expanded Form</h3>
<table>
<tr>
<td>pq − p − q + 1</td>
<td>pq − q</td>
<td>pq + p − q − 1</td>
</tr>
<tr>
<td>pq − p</td>
<td><strong>pq</strong></td>
<td>pq + p</td>
</tr>
<tr>
<td>pq − q + p − 1</td>
<td>pq + q</td>
<td>pq + p + q + 1</td>
</tr>
</table>
</div>
</body>
</html>