Question

Maths question
Q3. Simplify

Answer 1

simplify given :-

$\large \sf \frac{ {x}^{2} - 3xy + 2xz - 6yz }{xy - 2xz - 3 {y}^{2} + 6yz }$

Solving the question :-

$\implies \sf \frac{ {x}^{2} - 3xy + 2xz - 6yz }{xy - 2xz - 3 {y}^{2} + 6yz } \\ \\ \implies \sf \frac{ {x}^{2} + 2xz - 3xy - 6yz}{xy - 2xz - 3 {y}^{2} + 6 {y}^{2} } \\ \\ \implies \sf \frac{x(x + 2z) - 3y(x + 2z)}{x(y - 2z) - 3y(y - 2z)} \\ \\ \implies \sf \frac{ (x + 2z) \cancel{(x - 3y)}}{(y - 2z) \cancel{(x - 3y)}} \\ \\ \implies \sf \frac{x + 2z}{y - 2z} \: \: \red ( \green{ans} \red)$

Hope this helps :)

Answer 2

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