Question

Verify formula (a+b)2=a2+b2+2ab

Answer 1

Hii There!!!


Given, ( a+b )^2 = a^2 + b^2 + 2ab

Consider L.H.S

=) ( a+b )^2

=) ( a+b ) ( a+b )

=) a ( a+b ) + b ( a+b )

=) a^2 + ab + ab + b^2


=) a^2 + b^2 + 2ab = R.H.S


_____________________

❄❄Hope it helps❄❄

Answer 2

(a + b)² = ( a + b ) ( a + b )

= a ( a + b ) + b ( a + b )

= a² + $\underline{ab \: + \: ba}$ + b²

= a² + 2ab + b²

$\therefore{}$ ( a + b )² = a² + 2ab + b²



Hence, verified.