The correct option is A 11025(105)^2 = nbsp;(100 + 5)^2. Using the identity, nbsp; (a+b)^2 = nbsp;(a)^2+2ab+(b)^2, (100 + 5)^2 = nbsp;(100)^2+2(5)(10 ...

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Standard IX

Mathematics

Expansion of (a ± b)²

The value of ...

Question

The value of (105) $^{2}$ is _______.

11025

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11065

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11625

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12425

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Solution

The correct option is A 11025
(105) $^{2}$ = (100 + 5) $^{2}$ .

Using the identity,
(a+b) $^{2}$ = (a) $^{2}$ +2ab+(b) $^{2}$ ,

(100 + 5) $^{2}$ = (100) $^{2}$ +2(5)(100)+(5) $^{2}$

= 10000 + 1000 + 25
= 11025

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Similar questions

Q. The value of (105)

^{2}

+ (95)

^{2}

is:

Q. If the matrix

A

⎡ ⎢ ⎣ \begin{matrix} 6 & x & 2 2 & - 1 & 2 - 10 & 5 & 2 \end{matrix} ⎤ ⎥ ⎦

is a singular matrix. Find the value of x.

Q. Expand

105^{2}

Q. Solve:

(105)^{2}

Evaluate :

105^{2} - 104^{2}

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The value of (105)2 is _______.

The correct option is A 11025(105)2 = (100 + 5)2. Using the identity, (a+b)2 = (a)2+2ab+(b)2, (100 + 5)2 = (100)2+2(5)(100)+(5)2 = 10000 + 1000 + 25 = 11025

The value of (105) $^{2}$ is _______.

The correct option is A 11025
(105) $^{2}$ = (100 + 5) $^{2}$ .

Using the identity,
(a+b) $^{2}$ = (a) $^{2}$ +2ab+(b) $^{2}$ ,

(100 + 5) $^{2}$ = (100) $^{2}$ +2(5)(100)+(5) $^{2}$

= 10000 + 1000 + 25
= 11025