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Home Question Bank Math Algebra Archive 2024 December 26

Algebra Questions from Dec 26,2024

Browse the Algebra Q&A Archive for Dec 26,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Simplify: \( \frac{\left(3 x^{2} y^{2}\right)^{2}}{3^{3} x^{-2} y^{3}} \) \begin{tabular}{|lc}\hline SOLVING EQUATIONS \\ \hline 1. & Distribute \\ \hline 2. \( \begin{array}{c}\text { Simplify Each Side } \\ \text { by combining like terms }\end{array} \) \\ \hline 3. \( \begin{array}{c}\text { Move Variables } \\ \text { to one side }\end{array} \) \\ \hline 4. \( \begin{array}{c}\text { Solve }\end{array} \) \\ \hline \( \begin{array}{l}\text { Examples inverse operations }\end{array} \) \\ \hline \hline Directions: Solve each equation below. \( \frac{10 x+17-(x-9)}{2}=3 x+1 \) \\ \hline\end{tabular} \( f(x)=3 x+2 \) ise \( f(4 x-1) \) in \( f(x) \) türünder değeri nedir? \( f(x)+f(x+1)=x+1 \) ve \( f(1)=2 \) olduğuna göre \( f(4) \) kaçtır? \( f\left(x^{3}-1\right)=x^{2}-x+2 \) duğuna göre \( f(7) \) kaçtır? Realizar las siguientes operaciones de polinomios, teniendo en cuenta que: \[ \begin{array}{lll}A: x^{3}+2 x^{2} y-5 x y+y^{3} \\ \text { B: } 2 x^{3}+3 x y^{2}-2 y^{3} \\ C: 4 x^{2}-x y^{2}+y^{3} \\ D: x^{3}-x^{2} y+x y^{2}\end{array} \] \( \begin{array}{llll}A+B) \times(C-D) & \text { b) }(D \times A)-(C+B) & \text { c) }[(A-C) \times B] \div D & \text { d) }(C-A)+(B \times D)\end{array} \) Simplify: \[ \frac{2^{x}-2^{-x}}{4^{x}-1} \] 1.1.4 \( \frac{\left(x^{2}+4\right)(x-2)}{x+2} \leq 0 \) Nomsa generates a sequence which is both arithmetic and geometric. The first term is 1 . She claims that there is only one such sequence. Is that correct? Show ALL your workings to justify your answer. 5. \( (32-40+6) \cdot[-3+2 \cdot(-4-9-1+7):(12+16-29)] \)
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