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Home Question Bank Math Algebra Archive 2024 December 23

Algebra Questions from Dec 23,2024

Browse the Algebra Q&A Archive for Dec 23,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Simplificación de potencias racionales \( (-27)^{2 / 3}(4)^{-5 / 2} \) 394. Упростите выражение: 1) \( (x+2)(x+11)-2 x(3-4 x) \) 2) \( (a+5)(a-2)+(a-4)(a+6) \) 3) \( (y-9)(3 y-1)-(2 y+1)(5 y-7) \) 4) \( (4 x-1)(4 x-3)-(2 x-10)(8 x+1) \). 393. Преобразуйте в многочлен выражение: \( \begin{array}{ll}\text { 1) }(a+b)(c-d) ; & \text { 6) }(3 y-5)(2 \\ \text { 2) }(x-6)(x-4) ; & \text { 7) }\left(2 x^{2}-3\right)(3 \\ \text { 3) }(a-3)(a+7) ; & \text { 8) }(x-6)\left(x^{2}\right. \\ \text { 4) }(11-c)(c+8) ; & \text { 9) }(5 x-y)(2 \\ \text { 5) }(d+13)(2 d-1) ; & \text { 10) } b(6 b+7)( \end{array} \) 393. Прсобразуйте в многочлен выражение: \( \begin{array}{ll}\text { 1) }(a+b)(c-d) ; & \text { 6) }(3 y-5)(2 \\ \text { 2) }(x-6)(x-4) ; & \text { 7) }\left(2 x^{2}-3\right)(3)\end{array} \) 8) \( (x-6)\left(x^{2}\right. \) Exercice 2 : Écrire les nombres suivants sous la forme \( 2^{n} \times 3^{m} \times 5^{k} \) où les nombres \( n, m, k \) des entiers relatifs. - \( 18 \times 15^{2} \times 12^{4} \) \( \left[\begin{array}{c}{3x-5}\end{array}\right]^{2} \) If \( a+3 b=7, c=3 \), then the numerical value of the expression \( (a+3)(b+c)=\ldots \ldots . \). \( \begin{array}{llll}\text { (a) } 10 & \text { (b) } 16 & \text { (d) } 21 & \text { (d) } 30\end{array} \) \( A=\left[\begin{array}{ccc}1 & 2 & 4 \\ -1 & -3 & 4 \\ 2 & 5 & 1\end{array}\right]_{3 \times 3} \) ise \( A^{-1}= \) ? If \( \mathrm{a}+3 \mathrm{~b}=7, \mathrm{c}=3 \), then the numerical value of the expression \( (\mathrm{a}+3)(\mathrm{b}+\mathrm{c})=\ldots \ldots \ldots \ldots \) \( \begin{array}{llll}\text { (a) } 10 & \text { (b) } 16 & \text { (c) } 21 & \text { (d) } 30\end{array} \) \( (x-4)^{4}-26(x-4)^{2}+25=0 \). рней, последние поля ввода оставьте пустыми, если это необходимо. \( x_{1}=-1 \)
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