ALGEBRAIC FORMULA APPLICATION | MATH CHALLENGER | বীজগাণিতিক সূত্রের প্রয়োগ | Part - 3
56. $a^3 + b^3 = p^3$, $a + b = q$ হলে, $ab$ = ?
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57. $a - \frac{1}{a} = 4$ হলে, $a^3 - \frac{1}{a^3}$ = ?
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58. $ x + \frac{1}{x} = 1$ হলে, $x^3 + \frac{1}{x^3} + 2 $= ?
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59.$ a^2 + \frac{1}{a^2} = 98$ হলে, $a^3 + \frac{1}{a^3}$ = ?
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60.$ x + y = 4$, $\frac{1}{x} + \frac{1}{y} = 4$ হলে, $x^3 + y^3$ = ?
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61. $ a^3 + b^3 =200$, $a + b = 8$ হলে,$ ab$ = ?
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62.$ a^3 - b^3 = 61$, $a - b = 1$ হলে,$ ab$ = ?
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63.$ 2x - y = 5$ হলে, $8x^3 - y^3 - 30xy$ = ?
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64.$ x + \frac{1}{x} = √3$ হলে, $x^3 + \frac{1}{x^3}$ = ?
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65.$ x^3 + 3x^2 + 3x = 7$ হলে, $x^3 - 3x^2 + 3x$ = ?
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66.$ a^4 + \frac{1}{a^4} = 119$ হলে, $a^3 - \frac{1}{a^3}$ = ?
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67.$ a + b + c = 11$, $ab + bc + ca = 20$ হলে, $a^3 + b^3 + c^3 - 3abc$ = ?
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68.$ \frac{(a - b)^3 + (b - c)^3 + (c - a)^3} {(a - b)(b - c)(c - a)}$ = ?
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69. $ a + b + c = 0$ হলে, $(a+b-c)^3 + (c+a-b)^3 $ $+ (b+c-a)^3$ = ?
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70.$ \frac{1}{(∛4 + ∛2 + 1)}$ = ?
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71. $\frac{(0.137+0.098)^2+(0.137-0.098)^2}{(0.137×0.137 + 0.098×0.098)}$ = ?
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72. $x + \frac{1}{x} = 2$ হলে, $√x + \frac{1}{√x}$ = ?
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73. $(x - 3)^2 + (y - 4)^2 + (z - 5)^2 = 0$ হলে, $(x + y + z)$ = ?
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74.$ \frac{(137×137 + 137×133 + 133×133)}{(137×137×137 - 133×133×133)}$ = ?
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75. a, b, c বাস্তব সংখ্যা এবং $a^3 + b^3 + c^3 = 3abc$ এবং $a + b + c ≠ 0$ হলে -
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