Question

do: perform the indicated operation and simplify brainly write the formula. substitute the value brainly an=a1+(n-1)d​

Answer 1

Given :    $\frac{x^2-9x+14}{x-2} \div \frac{3x^2-21x}{x+9}$

To Find :  Simplify

Solution:

$\frac{x^2-9x+14}{x-2} \div \frac{3x^2-21x}{x+9}$

$= \frac{x^2-9x+14}{x-2} \times \frac{x+9}{3x^2-21x}$

Factorize x² - 9x + 14

= (x - 7)(x - 2)

Take common 3x in 3x² - 21x

= 3x(x - 7)

$= \frac{(x-7)(x-2)}{x-2} \times \frac{x+9}{3x(x-7)}$

Cancel (x - 7)  & ( x- 2) from denominator & numerator

$= \frac{1}{1} \times \frac{x+9}{3x}$

$= \frac{x+9}{3x}$

$\frac{x^2-9x+14}{x-2} \div \frac{3x^2-21x}{x+9}$ $= \frac{x+9}{3x}$

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Answer 2

Answer:

Step-by-step explanations

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