Learn-Coding/Algebra.html at main · mithleshprasad/Learn-Coding · GitHub

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>Algebra Formulas</title>
    <style>
        body {
            font-family: Arial, sans-serif;
            background-color: #f4f4f9;
            margin: 0;
            padding: 20px;
            color: #333;
        }
        h1, h2 {
            text-align: center;
            color: #28a745;
        }
        .container {
            max-width: 800px;
            margin: 0 auto;
            padding: 20px;
            background: #fff;
            border-radius: 10px;
            box-shadow: 0 4px 8px rgba(0, 0, 0, 0.1);
        }
        section {
            margin-bottom: 20px;
        }
        .formula {
            padding: 10px 15px;
            background: #f9f9f9;
            border-left: 4px solid #28a745;
            margin: 10px 0;
            font-family: "Courier New", monospace;
        }
        footer {
            text-align: center;
            margin-top: 30px;
            color: #777;
            font-size: 0.9em;
        }
    </style>
</head>
<body>
    <h1>Algebra Formulas</h1>
    <div class="container">
        <!-- Basic Identities -->
        <section>
            <h2>Basic Algebraic Identities</h2>
            <div class="formula">(a + b)² = a² + 2ab + b²</div>
            <div class="formula">(a - b)² = a² - 2ab + b²</div>
            <div class="formula">a² - b² = (a + b)(a - b)</div>
        </section>

        <!-- Cubic Identities -->
        <section>
            <h2>Cubic Identities</h2>
            <div class="formula">(a + b)³ = a³ + 3a²b + 3ab² + b³</div>
            <div class="formula">(a - b)³ = a³ - 3a²b + 3ab² - b³</div>
            <div class="formula">a³ + b³ = (a + b)(a² - ab + b²)</div>
            <div class="formula">a³ - b³ = (a - b)(a² + ab + b²)</div>
        </section>

        <!-- Quadratic Equation -->
        <section>
            <h2>Quadratic Formula</h2>
            <div class="formula">ax² + bx + c = 0</div>
            <div class="formula">x = [-b ± √(b² - 4ac)] / 2a</div>
        </section>

        <!-- Arithmetic Progression -->
        <section>
            <h2>Arithmetic Progression (AP)</h2>
            <div class="formula">n-th Term: Tn = a + (n - 1)d</div>
            <div class="formula">Sum of n Terms: S = n/2 [2a + (n - 1)d]</div>
        </section>

        <!-- Geometric Progression -->
        <section>
            <h2>Geometric Progression (GP)</h2>
            <div class="formula">n-th Term: Tn = ar^(n - 1)</div>
            <div class="formula">Sum of n Terms: S = a(1 - r^n) / (1 - r) for r ≠ 1</div>
            <div class="formula">Sum to Infinity: S = a / (1 - r) for |r| &lt; 1</div>
        </section>

        <!-- Binomial Expansion -->
        <section>
            <h2>Binomial Expansion</h2>
            <div class="formula">(a + b)ⁿ = Σ [nCk * a^(n-k) * b^k]</div>
            <div class="formula">Where nCk = n! / [k!(n - k)!]</div>
        </section>
    </div>
    <footer>
        &copy; 2024 Algebra Guide. All Rights Reserved.
    </footer>
</body>
</html>