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Questions >> CBSE XI >> Math >> Binomial Theorem

Evaluate $(\sqrt 3+\sqrt 2)^4-(\sqrt 3-\sqrt 2)^4$

asked Jun 23, 2014 by sreemathi.v

1 answer

Find $(a+b)^4-(a-b)^4$ .

asked Jun 23, 2014 by sreemathi.v

1 answer

Using the Binomial theorem indicate which number is larger $(1-1)^{10000}$ or 1000

asked Jun 23, 2014 by sreemathi.v

1 answer

Expand the expression: $(99)^5$

asked Jun 23, 2014 by sreemathi.v

1 answer

Expand the expression: $(101)^4$

asked Jun 23, 2014 by sreemathi.v

1 answer

Expand each of the expressions: $(102)^5$

asked Jun 20, 2014 by sreemathi.v

1 answer

Expand each of the expressions: $(96)^3$

asked Jun 20, 2014 by sreemathi.v

1 answer

Expand each of the expressions: $\big(x+\large\frac{1}{x}\big)^6$

asked Jun 20, 2014 by sreemathi.v

1 answer

Expand each of the expressions: $\big(\large\frac{x}{3}+\frac{1}{x}\big)^5$

asked Jun 20, 2014 by sreemathi.v

1 answer

Expand each of the expressions: $(2x-3)^6$

asked Jun 20, 2014 by sreemathi.v

1 answer

Expand each of the expressions: $\big(\large\frac{2}{x}-\frac{x}{2}\big)^5$

asked Jun 20, 2014 by sreemathi.v

1 answer

Expand each of the expressions: $(1-2x)^5$

asked Jun 20, 2014 by sreemathi.v

1 answer

In the expansion of $(1 + a)^{m+n}$ , prove that coefficients of $a^m$ and $a^n$ are equal.

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find the middle terms in the expansions of $\; \large ( \frac{x}{3}$ $+9y \large)$ $^{10}$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find the middle terms in the expansions of $\;\large ($ $3$ $- \large\frac{x^3}{6})^7$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find the $13th$ term in the expansion of $\large ($ $9x$ $-\large \frac{1}{3\sqrt x})^{\normalsize 18}$ $, x\neq 0$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find the $4th$ term in the expansion of $(x - 2y)^{12}$ .

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Write the general term in the expansion of $(x^2 - yx)^{12},\; x\neq 0$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Write the general term in the expansion of $(x^2 - y)^6$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find the coefficient of $a^5b^7$ in $(a-2b)^{12}$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find the coefficient of $x^5$ in $(x+3)^8$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Show that $9^{n+1} – 8n – 9$ is divisible by $64$ , whenever $n$ is a positive integer.

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find $(x+1)^6 + (x – 1)^6$ . Hence, evaluate $( \sqrt2 + 1)^6+(\sqrt 2 –1)^6$ .

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find $(a + b)^4 - (a - b)^4.$ Hence, evaluate $( \sqrt3 + \sqrt2)^4 - (\sqrt 3 - \sqrt 2)^4$ .

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Using Binomial Theorem, indicate which number is larger $(1.1)^{10000}$ or $1000$ .

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Using Binomial Theorem, evaluate $101^4$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Using Binomial Theorem, evaluate $99^5$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Using Binomial Theorem, evaluate $102^6$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Using Binomial Theorem, evaluate $96^3$ .

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Expand the expression: $(x + \large\frac{1}{x}$ $)^6$

asked Apr 9, 2014 by balaji.thirumalai

1 answer

Expand the expression: $\large(\frac{x}{3} + \frac{1}{x})$ $^5$

asked Apr 9, 2014 by balaji.thirumalai

1 answer

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

asked Apr 9, 2014 by balaji.thirumalai

1 answer

Expand the expression: $\large(\frac{2}{x} - \frac{x}{2})$ $^5$

asked Apr 9, 2014 by balaji.thirumalai

1 answer

Expand the expression: $(1-2x)^5$

asked Apr 9, 2014 by balaji.thirumalai

1 answer

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