Question

..simplify..................

Answer 1

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Answer 2

simplify:

Step-by-step explanation:

$\ Given \ value:\\\\\frac{(x-1)(x-2)(x^2-9x+14)}{(x-7)(x^2-3x+2)}\\\\\ Solution:\\\\\rightarrow x^2-9x+14\\\\ \rightarrow x^2-(7x+2x)+14\\\\\rightarrow x^2-7x-2x+14\\\\\rightarrow x(x-7)-2(x-7)\\\\\rightarrow (x-7)(x-2)$

$\ And\\\\\rightarrow x^2-3x+2\\\\\rightarrow x^2-(2x+x)+2\\\\\rightarrow x^2-2x-x+2\\\\\rightarrow x(x-2)-1(x-2)\\\\\rightarrow (x-2)(x-1)\\\\\therefore (x^2-9x+14) = (x+2)(x-7) \ \ and \ (x^2-3x+2) =(x-2)(x-1)$

$\rightarrow\frac{(x-1)(x-2)(x^2-9x+14)}{(x-7)(x^2-3x+2)}\\\\\rightarrow\frac{(x-1)(x-2)(x+2)(x-7)}{(x-7)(x-2)(x-1)}\\\\\rightarrow (x+2)$

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• Simplify: https://brainly.in/question/7714750