Question

Verify the identity (a+b)^2=a^2+2ab+b^2 geometrically by taking a=3 and b=2
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Answer 1

${\bold{\underline{Quest:-}}$

Verify the identity (a+b)^2=a^2+2ab+b^2 geometrically by taking a=3 and b=2

${\bold{\underline{solution:-}}$

${\bold{(a+b)^2 = a^2 + 2ab+b^2 }$

${\bold{Draw a square with the side a +b I,e,3+2}}$

${\bold{L.H.S = area of whole square}}$

${\bold{=(3+2)^2 = 5^2 = 25}}$

R.H.S. = area of square with 3units + area of square with side 2 units + area of rectangle with sides 3,2units+area of rectangle with sides 2,3 units

${\bold{= 3^2+2^2+3(2)*3(2) }$

${\bold{=9+4+6+6=25}}}$

${\bold{L.H.S=R.H.S}}$

${\bold{Therefore hence the identity is verified }}}$

$\huge{thankya}}}$