Question

factoris:m²-25m+100​

Answer 1

m²-25m +100

m²-(20+5)m+100

m² -20m -5m +100

m(m-20) -5(m-20)

(m-5)(m-20)

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Answer 2

Answer:

m²-25m+100​ can be factorized so as to obtain (m-20) and (m-5) as two of its factors.

Step-by-step explanation:

Since its a quadratic polynomial, we can factorize it by splitting the middle term.

$m^2 - 25m +100$

To split its middle term, we need to find two numbers whose product is 100 and sum (in this case) is 25.

The two numbers are -20 and -5 because -20-5 = -25 and (-20)*(-5) = 100.

So,

$m^2 - 25m +100\\\\= m - 20m - 5m + 100$

Now, taking out the common terms, we have

$m(m - 20) -5(m-20)$

Further, (m-20) an be taken out as the common term. So, we have

$(m-20)(m-5)$

Therefore, m²-25m+100​ can be factorized so as to obtain (m-20) and (m-5) as two of its factors.