Question

Evulate 75×65 using a suitable identity

Answer 1

$Value \: of \: 75 \times 65$

$= ( 70 + 5 )( 70 - 5 )$

/* By algebraic identity */

$\boxed{\pink { (a+b)(a-b) = a^{2} - b^{2} }}$

$= 70^{2} - 5^{2}$

$= 4900 - 25$

$= 4875$

Therefore.,

$\red{Value \: of \: 75 \times 65}\green { = 4875}$

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