Question:
Expand the expression \((1- 2x)^ 5\).
Expand the expression \((1- 2x)^ 5\).
Updated On: Jan 23, 2026
Show Solution
Verified By Collegedunia
Solution and Explanation
By using Bionomial Theorem, the expression \((1-2x)^5\) can be expanded as
\((1-2x)^5\)
= \( ^5C_0 (1)^5 - ^5C_1 (1)^4 (2x) + ^5C_2 (1)^3 (2x)^2 - ^5C_3 (1)^2 (2x)^3 + ^5C_4 (1)1 (2x)^4 - ^5C_5 (2x)^5\)
=\(1-5(2x)+10(4x^2)-10(8x^3)+5(16x^4)-(32x^5)\)
=\(1-10x+40x^2-80x^3+80x^4-32x^5\)
Was this answer helpful?
0
0
Top CBSE Class XI Mathematics Questions
- A coin is tossed twice, what is the probability that atleast one tail occurs?
- The relation f is defined by
\(f(x) = \begin{cases} x^2, & \quad 0≤x≤3\\ 3x, & \quad 3≤x≤10 \end{cases}\)
The relation g is defined by
\(g(x) = \begin{cases} x^2, & \quad 0≤x≤2\\ 3x, & \quad 2≤x≤10 \end{cases}\)
Show that f is a function and g is not a function. - Let \(f={(x,\frac {x^2}{1+x^2}):x∈R}\) be a function from R into R. Determine the range of f.
- How many 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?
- In how many of the distinct permutations of the letters in MISSISSIPPI do the four I's not come together?
View More Questions
Top CBSE Class XI Questions
- The total number of protons in $ 10\,g$ of calcium carbonate is $ (N_{0}=6.023\times 10^{23})$ :
- Justify giving reactions that among halogens, fluorine is the best oxidant and among hydrohalic compounds, hydroiodic acid is the best reductant.
- An oxygen cylinder of volume 30 litre has an initial gauge pressure of 15 atm and a temperature of 27 °C. After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to 17 °C. Estimate the mass of oxygen taken out of the cylinder (R = 8.31 J mol–1 K–1, molecular mass of O2 = 32 u).
- Estimate the total number of air molecules (inclusive of oxygen, nitrogen, water vapour and other constituents) in a room of capacity 25.0 m3 at a temperature of 27 °C and 1 atm pressure.
- An air bubble of volume 1.0 cm3 rises from the bottom of a lake 40 m deep at a temperature of 12 °C. To what volume does it grow when it reaches the surface, which is at a temperature of 35 °C ?
View More Questions