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