Question : The sum of $6xy(2x-4z), 3yz(2x-3z)$ and $4xz(3y-2y^2)$ is:
Option 1: $12x^2y-6xyz-9yz^2+8xy^2z$
Option 2: $12x^2y-6xyz+9yz^2-8xy^2z$
Option 3: $12x^2y-6xyz-9yz^2-8xy^2z$
Option 4: $12x^2y+6xyz-9yz^2-8xy^2z$
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Correct Answer: $12x^2y-6xyz-9yz^2-8xy^2z$
Solution : Given: $6xy(2x-4z)+ 3yz(2x-3z)$ + $4xz(3y-2y^2)$ = $12x^2y-24xyz+6xyz-9yz^2+12xyz-8xy^2z$ = $12x^2y-6xyz-9yz^2-8xy^2z$ Hence, the correct answer is $12x^2y-6xyz-9yz^2-8xy^2z$.
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Question : If $\small x+3y-\frac{2z}{4}=6, \; x+\frac{2}{3}(2y+3z)=33$ and $\frac{1}{7}(x+y+z)+2z=9,$ then what is the value of $46x+131y$?
Question : What is the equation of the line perpendicular to the line $2x+3y=-6$ and having y-intercept 3?
Question : The simplified form of $(x+2y)^3 + (x-2y)^3$ is:
Question : If $(2x-y)^{2}+(3y-2z)^{2}=0$, then the ratio $x:y:z$ is:
Question : If $\frac{3–5x}{2x}+\frac{3–5y}{2y}+\frac{3–5z}{2z}=0$, the value of $\frac{2}{x}+\frac{2}{y}+\frac{2}{z}$ is:
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