Using suitable identity- find the values of 104 - 105-

104 nbsp;× 105 nbsp;= (100+4)(100+5) Using the identity (x+a)(x+b) = x^2 + (a+b)x + ab = 100^2 + (4+5)100 + 4 nbsp;× 5 nbsp; =10000 + 400 + 500 + 20 ...

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Standard IX

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Machiavelli

Using suitabl...

Question

Using suitable identity, find the values of $104 \times 105$ .

10920

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10900

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10290

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10090

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Solution

The correct option is A
10920

$104 \times 105 = (100 + 4) (100 + 5)$

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

$= 100^{2} + (4 + 5) 100 + 4 \times 5$

$= 10000 + 400 + 500 + 20$

$= 10000 + 900 + 20$

$= 10920$

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Using suitable identity, find the values of 104×105.

The correct option is A 10920 104×105=(100+4)(100+5) Using the identity (x+a)(x+b)=x2+(a+b)x+ab =1002+(4+5)100+4×5 =10000+400+500+20 =10000+900+20 =10920

Using suitable identity, find the values of $104 \times 105$ .

The correct option is A
10920

$104 \times 105 = (100 + 4) (100 + 5)$

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

$= 100^{2} + (4 + 5) 100 + 4 \times 5$

$= 10000 + 400 + 500 + 20$

$= 10000 + 900 + 20$

$= 10920$