Question:
Expand the expression \((1- 2x)^ 5\).
Expand the expression \((1- 2x)^ 5\).
Updated On: Oct 25, 2023
Hide 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 Questions on Binomial Theorem for Positive Integral Indices
- Find \((x + 1)^6 - (x - 1)^6\). Hence or otherwise evaluate \((\sqrt2 + 1)^6 + (\sqrt2 - 1)^6.\)
- CBSE Class XI
- Mathematics
- Binomial Theorem for Positive Integral Indices
- Find \((a + b)^4 - (a - b)^4\). Hence, evaluate \((\sqrt3 + \sqrt2)^4 - (\sqrt3 - \sqrt2)^4\).
- CBSE Class XI
- Mathematics
- Binomial Theorem for Positive Integral Indices
- Evaluate\( ( √3 +√2) ^6 - ( √3 -√2) ^6.\)
- CBSE Class XI
- Mathematics
- Binomial Theorem for Positive Integral Indices
If a and b are distinct integers, prove that a - b is a factor of \(a^n - b^n\) , whenever n is a positive integer.
[Hint: write\( a ^n = (a - b + b)^n\) and expand]- CBSE Class XI
- Mathematics
- Binomial Theorem for Positive Integral Indices
- Prove that \(\underset{r=0} {\overset{n}∑} { 3^r }\,{ ^nC_r} = 4^n\)
- CBSE Class XI
- Mathematics
- Binomial Theorem for Positive Integral Indices
View More Questions
Questions Asked in CBSE Class XI exam
- The following are the meanings listed in the dictionary against the phrase ‘take on’. In which meaning is it used in the third paragraph of the account:
take on sth: to begin to have a particular quality or appearance;
to assume sthtake sb on: to employ sb;
to engage sb to accept sb as one’s opponent in a game, contest or conflicttake sb/sth on: to decide to do sth;
to allow sth/sb to enter e.g. a bus, plane or ship;
to take sth/sb on board- CBSE Class XI
- We're not afraid to Die if we can all be together
- The story revolves around characters who belong to a tribe in Armenia. Mourad and Aram are members of the Garoghlanian family. Now locate Armenia and Assyria on the atlas and prepare a write-up on the Garoghlanian tribes. You may write about people, their names, traits, geographical and economic features as suggested in the story.
- CBSE Class XI
- The summer of the beautiful white horse
- Write the resonance structures for SO3 , NO2 and NO3-
- CBSE Class XI
- Kossel-Lewis Approach to Chemical Bonding
- Describe the structure of the following with the help of labelled diagrams.
(i) Nucleus
(ii) Centrosome- CBSE Class XI
- An Overview Of Cell
- Convert the following into basic units:
- 28.7 pm
- 15.15 pm
- 25365 mg
- CBSE Class XI
- Percentage Composition
View More Questions