MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Sum of product of binomial coefficients

Expand the ex...

Question

Expand the expression $(2 x - 3)^{6}$

Open in App

Solution

Using Binomial theorem,
$(2 x - 3)^{6} =^{6} C_{0} (2 x)^{6} -^{6} C_{1} (2 x)^{5} (3) +^{6} C_{2} (2 x)^{4} (3)^{2} -^{6} C_{3} (2 x)^{3} (3)^{3} +^{6} C_{4} (2 x)^{2} (3)^{4} -^{6} C_{5} (2 x) (3)^{5} +^{6} C_{6} (3)^{6}$
$= 64 x^{6} - 6 (32 x^{5}) (3) + 15 (16 x^{4}) (9) - 20 (8 x^{3}) (27) + 15 (4 x^{2}) (81) - 6 (2 x) (243) + 729$
$= 64 x^{6} - 576 x^{5} + 2160 x^{4} - 4320 x^{3} + 4860 x^{2} - 2916 x + 729$

Suggest Corrections

thumbs-up

5

Similar questions

Q. Expand the following expression:

(2 x - 3)^{6}

Q. Expand the expression

4 (5 x + 3) (2 x - 1)

.

Q. Expand to 4 terms the following expressions :

{(1 + \frac{2 x}{3})}^{\frac{3}{2}}

Q. Expand the expression

(1 - 2 x)^{5}

Q. Expand the algebraic expression

x^{3} (2 x^{4} + 4 x^{3} + 5) .

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Sum of Product of Binomial Coefficients

MATHEMATICS

Watch in App

explore_more_icon

Explore more

NCERT - Standard XI

Sum of product of binomial coefficients

Standard XI Mathematics

Join BYJU'S Learning Program

CrossIcon