A + B Whole Square : Solved Examples

(a + b)2 = a2 + b2 + 2ab	(a - b)2 = a2 + b2 - 2ab	a2 - b2 = (a + b) (a - b)	(x + a) (x + b) = x2 + x(a + b) + ab	(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(a + b)3 = a3 + b3 + 3ab(a + b)	(a - b)3 = a3 - b3 - 3ab(a - b)	a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)

Solve the following equations by A + B Whole Square E) (9x + 3y)2 F) (13x + 7y)2 G) (16x + 7y)2 E) (9x + 3y)2 Apply the value to identity i.e. (a + b)2 = a2 + b2 + 2ab (9x + 3y)2 = (9x)2 + (3y)2 + 2(9x)(3y) Solve the exponential forms = 81x2 + 9y2 + 2(9x)(3y) Solve multiplication process and we get: = 81x2 + 9y2 + 54xy Hence (9x + 3y)2 = 81x2 + 9y2 + 54xy F) (13x + 7y)2 Apply the value to identity i.e. (a + b)2 = a2 + b2 + 2ab (13x + 7y)2 = (13x)2 + (7y)2 + 2(13x)(7y) Solve the exponential forms = 169x2 + 49y2 + 2(13x)(7y) Solve multiplication process and we get: = 169x2 + 49y2 + 182xy Hence (13x + 7y)2 = 169x2 + 49y2 + 182xy G) (16x + 7y)2 Apply the value to identity i.e. (a + b)2 = a2 + b2 + 2ab (16x + 7y)2 = (16x)2 + (7y)2 + 2(16x)(7y) Solve the exponential forms = 256x2 + 49y2 + 2(16x)(7y) Solve multiplication process and we get: = 256x2 + 49y2 + 224xy Hence (16x + 7y)2 = 256x2 + 49y2 + 224xy Related Question Examples Solve the following equations by A + B Whole Square A) (22x + 27y)2 B) (14x + 7y)2 C) (15x + 9y)2 D) (18x + 4y)2 Solve the following equations by A + B Whole Square E) (9x + 3y)2 F) (13x + 7y)2 G) (16x + 7y)2