8 m² - 25 +100 pls Ans me factorise correct answer pls reply
Answers
Answer:
please write right equation
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 +100m
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,
\begin{gathered}m^2 - 25m +100\\\\= m - 20m - 5m + 100\end{gathered}
m
2
−25m+100
=m−20m−5m+100
Now, taking out the common terms, we have
m(m - 20) -5(m-20)m(m−20)−5(m−20)
Further, (m-20) an be taken out as the common term. So, we have
(m-20)(m-5)(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.