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Algebraic Identities

Find 407× 3...

Question

Find $407 \times 393$

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Solution

$407 \times 393 = (400 + 7) (400 - 7)$
$= 400^{2} - 7^{2}$
$= 160000 - 49$
$= 159951$

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Similar questions

Q. Find the value of 407

\times

393 using a suitable identity.

A

in the addition

17 A

+ 2 A 4 - ----- -

407 - -- -

20^{t h}

term from the end of an A.P

3, 7, 11, . . . . . . . . . . . . . . 407

20^{t h}

term from the end of an AP 3, 7, 11, ......, 407

Q. Find the number of terms common to the two

A . P .^{'} s 3, 7, 11,

407

2, 9, 16

709

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