Question
Factorize :
m² – 25m + 100
✓
Answer
m² – 25m + 100
= m² – 20m – 5m + 100
= m(m – 20) – 5(m – 20)
= (m – 20) (m – 5)
= m² – 20m – 5m + 100
= m(m – 20) – 5(m – 20)
= (m – 20) (m – 5)
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm , find the edge of the third smaller cube.
The sum of the digits of a two-digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number. Check your solution.
Construct a parallelogram ABCD in which AB = 4.3cm, AD = 4cm and BD = 6.8cm.
Find the value of $\left(5 x^6\right) \times\left(-1.5 x^2 y^3\right) \times\left(-12 x y^2\right)$ when $x=1, y=0.5$.
→Verify the following:
$\frac{-13}{24}\times\Big(\frac{-12}{5}\times\frac{35}{36}\Big)=\Big(\frac{-13}{24}\times\frac{-12}{5}\Big)\times\frac{35}{36}$
→$\frac{-13}{24}\times\Big(\frac{-12}{5}\times\frac{35}{36}\Big)=\Big(\frac{-13}{24}\times\frac{-12}{5}\Big)\times\frac{35}{36}$
A car can finish a certain journey in 10 hours at the speed of 48km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance?
Find the amount and the compound interest on Rs. 12800 for 1 year at $7\frac{1}{2}\%$ per annum, compounded semi-annually.
→Construct BARC such that l(BA) = l(BC) = 4.2 cm, l(AC) = 6.0 cm, l(AR) = l(CR) = 5.6 cm
Find the volume, lateral surface area and the total surface area of the cuboid whose dimensions are:
Length $=15 m$, breadth $=6 m$ and height $=9 dm$.
→Length $=15 m$, breadth $=6 m$ and height $=9 dm$.
By what number should $\Big(\frac{-2}{3}\Big)^{-3}$ be divided so that the quotient may be $\Big(\frac{4}{27}\Big)^{-2}$?
→