Algebra Questions from Jan 30,2025

Browse the Algebra Q&A Archive for Jan 30,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Expand \& Simplify a) \( (-1-2 a)(4+3 n) \) () \( \left(2 x^{4}-3 y^{2}\right)\left(3 x^{4}+2 y^{2}\right) \) c \( (7 m-2 n)(3 m+n) \) d) \( \left(4 x^{4}+3 y^{5}\right)\left(2 e^{4}-4 y^{3}\right. \) Simplify: \( -4 y+2 k+6-6 y+3 k \) Basic Funcs Trig Factorise. a) \( \quad 2 a^{2}(x-y)+b(y-x) \) What is the value of \( n \) in the equation below? \[ \frac{3\left(3^{n}\right)^{2}}{3^{5}}=3^{8} \] Type the number in the box. \( n= \) W \( h(t)=-t+\frac{6}{5} ; t=-6, t=1 \) (a) Determine the net change between the given values of the variable. (b) Determine the average rate of change between the given values of the variable. Need Help? Watch it (3) Combine the like \( t \) \( 2 s+(-4 s)= \) MIXED EXERCISE Exercise \( D^{4} \) : 2. \( \frac{2}{x^{2}+3 x+2}-\frac{1}{x^{2}+x-2}-\frac{1}{x^{2}-1} \) MIXED EXERCISE Exercise D4: Simplify: 1. \( \frac{x^{2}+x-6}{3 x^{2}-12 x} \div \frac{x^{3}-2 x^{2}}{x^{2}-16} \cdot \frac{1}{x+4} \) 2. \( \frac{2}{x^{2}+3 x+2}-\frac{1}{x^{2}+x-2}-\frac{1}{x^{2}-1} \) Solve for \( x: \) 3. \( \frac{2}{x^{2}-x-2}-\frac{1}{2 x+2}=\frac{1}{x+1} \) 4. \( \frac{2}{x-5}-\frac{1}{x^{2}-5 x}=\frac{1}{5-x} \) Combine the like terms to cr \[ -7-4 p-(-5) \] \( \square \) 11. 1. Resoudre darns R \( ^{3} \) \[ \left\{\begin{array}{c} x+2 y+3 z=6 \\ -x+3 y+2 z=4 \\ 2 x-y-z=0 \end{array} \text { Utiliser Pinot do Gauss } \quad(2-1)(0\right. \] 2. On convidère lo polyname F écl \( q(x): F(x)=x^{4}+x^{3}-7 x^{2}-13 x-6 \) 6 a Determiner les rects \( \mathrm{a}, \mathrm{b} \) et etels que \( \left(\mathrm{x}^{2}+1\right)(\mathrm{ax}+\mathrm{bx}+\mathrm{c}) \). b. Resoudre dans IR, \( F(x)=0 \) c. Resoudre dors IR \( F(x)= \) -
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