Without actual multiplication- then value of 687 - 687 - 313 - 313

The correct option is B 3,74,000 687×687 313×313 =(687)^2 (313)^2 Using identity (a+b)(a b)=a #178; b #178; = (687+313)(687 313) ...

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Standard VIII

Mathematics

Factorisation Using Algebraic Identities

Without actua...

Question

Without actual multiplication, then value of $687 \times 687 - 313 \times 313$

3, 50, 004

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3, 74, 000

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5, 74, 000

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2, 74, 000

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Solution

The correct option is B $3, 74, 000$
$687 \times 687 - 313 \times 313$

$= (687)^{2} - (313)^{2}$

Using identity $(a + b) (a - b) = a ² - b ²$

$= (687 + 313) (687 - 313)$

$= 1000 \times 374$

$= 3, 74, 000$

$∴ option B is correct .$

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Without actual multiplication, then value of 687×687−313×313

The correct option is B 3,74,000687×687−313×313=(687)2−(313)2Using identity (a+b)(a−b)=a²−b²=(687+313)(687−313)=1000×374=3,74,000∴option B is correct.

Without actual multiplication, then value of $687 \times 687 - 313 \times 313$

The correct option is B $3, 74, 000$
$687 \times 687 - 313 \times 313$

$= (687)^{2} - (313)^{2}$

Using identity $(a + b) (a - b) = a ² - b ²$

$= (687 + 313) (687 - 313)$

$= 1000 \times 374$

$= 3, 74, 000$

$∴ option B is correct .$