Question

Divide : (m2 – 5m + 6) by (m – 3)​

Answer 1

Answer:

$\frac{ ({m}^{2} - 5m + 6) }{(m - 3)} \\ \\ = \frac{( {m}^{2} - 3m - 2m + 6)}{(m - 3)} \\ \\ = \frac{m(m - 3) - 2(m - 3)}{(m - 3)} \\ \\ = \frac{(m -3)(m - 2)}{(m - 3)} \\ m - 3 \: will \: cut \: each \: other \: \\ so \: \\ answer \: is \: (m - 2)$

Answer 2

Dividing m² - 5m + 6 by m - 3 the result m - 2

Given : Divide m² - 5m + 6 by m - 3

To find : The result

Solution :

Step 1 of 3 :

Write down the given expression

Divide m² - 5m + 6 by m - 3

Step 2 of 3 :

Factorise the expression m² - 5m + 6

$\sf {m}^{2} - 5m + 6$

$\sf = {m}^{2} - (3 + 2)m + 6$

$\sf = {m}^{2} - 3m - 2m + 6$

$\sf = m(m - 3) - 2(m - 3)$

$\sf = (m - 3) (m - 2)$

Step 3 of 3 :

Find the result

The required result

$\displaystyle \sf{ = \frac{ {m}^{2} - 5m + 6}{m - 3} }$

$\displaystyle \sf{ = \frac{ (m - 3)(m - 2)}{m - 3} }$

$\displaystyle \sf{ = (m - 2) }$

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