The correct option is B 11449(107)^2 = nbsp;(100 + 7)^2. Using the identity, nbsp; (a+b)^2 = nbsp;(a)^2+2ab+(b)^2, (100 + 7)^2 = nbsp;(100)^2+2(7)(1 ...

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Standard IX

Mathematics

Algebraic Identities

The value of ...

Question

The value of (107) $^{2}$ is________.

11449

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11249

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16469

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12569

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Solution

The correct option is A 11449
(107) $^{2}$ = (100 + 7) $^{2}$ .

Using the identity,

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

(100 + 7) $^{2}$ = (100) $^{2}$ +2(7)(100)+(7) $^{2}$
= 10000 + 1400 + 49
= 11449.

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Similar questions

Q. The value of (107)

^{2}

- (93)

^{2}

is: ____.

Q. The value of (107)

^{2}

- (93)

^{2}

is:

What is the value of "a” if the last digit of $[(102)^{2} \times (107)^{2} \times (104)^{2} \times (106)^{2} \times (100 + a)^{2}]$ is zero.

Q. Evaluate

(107)^{2} - (93)^{2}

Q. Solve:

(108)^{2} - (107)^{2}

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The value of (107)2 is________.

The correct option is A 11449(107)2 = (100 + 7)2. Using the identity, (a+b)2 = (a)2+2ab+(b)2, (100 + 7)2 = (100)2+2(7)(100)+(7)2 = 10000 + 1400 + 49 = 11449.

The value of (107) $^{2}$ is________.

The correct option is A 11449
(107) $^{2}$ = (100 + 7) $^{2}$ .

Using the identity,

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

(100 + 7) $^{2}$ = (100) $^{2}$ +2(7)(100)+(7) $^{2}$
= 10000 + 1400 + 49
= 11449.