class 11

Math

Algebra

Binomial Theorem

The remainder left out when $8_{2n}(62)_{2n+1}$is divided by 9 is

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Find the middle terms in the expansion of $(3−6x_{3} )_{7}$

Find the coefficient of $x_{5}$ in the product $(1+2x)_{6}(1−x)_{7}$ using binomial theorem.

Middle term in expansion of $(1−3x+3x_{2}−x_{3})_{2n}$ is

$_{74}C_{37}−2$ is divisibl by

The sum of the coefficients of first three term in the expansion of $(x−x_{2}3 )_{m},x=0.$ m being a natural number, is 559. Find the term of the expansion containing $x_{3}$.

Evaluate the following: $(3 +2 )_{6}−(3 −2 )_{6}$

Find the 7th term in the expansion of $(3x_{2}−x_{3}1 )_{10}˙$

Find the coefficient of $x_{5}$ in $(x+3)_{8}$