Find the value of (ab)^{2}
Suppose AC = AF = A units
AB = AG = b units
\ BC = AC  AB = (a  b) units
GF = AF  AG = (a  b) units
HI = BC = (a  b) units and HE = GE = (a  b) units
\ Area of the square HIDE = HI * HE
= (a  b) * (a  b)
= (a  b)^{2} sq. units ..........I
Area of square HIDE = Area of square ACDF  Area of rectangle ACIG  Area of
rectangle GHEF
= AC * AF  AC * AG  GH * GF
= a.a  a.b  (ab).b
= a^{2 } ab  b(ab)
= a^{2}  ab  ab + b^{2}
= a^{2}  2ab + b^{2} ..........II
\ From I and II
Ž (a  b)^{2} = a^{2}  2ab + b^{2}
Directions: Solve the following problems. Also write at least ten examples of your own.
