Question

factorise:
m²-25m+100​

Answer 1

Answer:

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

Step-by-step explanation:

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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.

m²-25m+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,

m²-25m+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.

                                 

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