Here, First expression :                         = a2 + .....

Here, Eirst expression                           = x2 – xy + .....

Here,

.....

Here, 1st expression,  = 8a3 + b3                           = (2a)3 + (b)3                              .....

Here, 1st expression = 2x2 – 8                         = 2(x2 – 4)                         = 2(x2 – 22)   .....

Here, 1st expression = x3 – 3x2 – x + 3                        = x2(x – 3) – 1(x – 3)                     .....

Here, 1st expression = 16a4 – 4a2 – 4a – 1                        = 16a4 – {(2a)2 + 2.2a.1 + (1)2}                   .....

Here, 1st expression = 4x4 + 19x2y2 + 49y4                        = (2x2)2 + 19x2y2 + 49y4                        = (2x2)2 + .....

Here, 1st expression:                        = (a2 + 7a + 12)                        = a2 + (3 + 4)a + 12       .....

Here, 1st expression = a4 + a2b2                          = a2(a2 + b2) . 2nd expression =  a2b2 + b4                      .....

Here, 1st expression:                        = 12a(ab – b2)2                        = 2 × 2 × 3a × b2 (a .....

Here, 1st expression = a2 – (b + c)2                        = (a + b + c) (a – b – c). 2nd expression = b2 – (c + a)2             .....

Here, 1st expression = a4 +  a2 + 1                        = (a4+ 1) + a2                        = {(a2)2 + 12} + a2   .....

Here, 1st expression   = 2x2 – 8                           = 2(x2 – 4)                           .....

Here, First expression:                           = a3 – .....

Here, 1st expression = a2 + 2ab + b2 – c2                         = (a + b)2 – c2                         = (a + b + .....

Here, 1st expression = a2 – (b + c)2                        = (a + b +c) (a – b – c). 2nd expression = b2 – (c + a)2             .....

Here, 1st expression = a3 – b3                        =(a – b) (a2 + ab + b2). 2nd expression = (a – b)3                   .....

Here, 1st expression = x2 + 2xy + y2 – z2                          = (x + y)2 – z2                         = (x .....

Here, First expression = x3 – x2 + x – 1                           = x2(x – 1) + 1(x – 1)                     .....

Here, First expression = x4 + x2 + 1                           = x4 + x2.12 + 14                 .....

Here, First expression = 4a3 + 12a2 + 9a                           = a(4a2 + 12a + 9)                          = .....

Here, First expression = 8x3 + 64                           = 8(x3 + 8)                           = 8{x3 + (2)3}   .....

Here, 1st expression                        = 4x4 + 19x2y2 + 49y4                        = (2x2)2 + 19x2y2 + 49y4     .....

Here, 1st expression                         = 12a(ab – b2)2                         = 2 × 2 × 3a × .....

Here, 1st expression = a3 – b3                        =(a – b) (a2 + ab + b2). 2nd expression = (a – b)3                   .....

Here, 1st expression = 2x2 – 8                        = 2(x2 – 4)                        = 2(x2 – 22)   .....

Here, 1st expression = x4 + x2y2 + y4                         = (x2)2 + (y2)2 + x2y2                         = (x2 + y2)2 – .....

Here, 1st expression = (a2 + 7a + 12)                       = a2 + (3 + 4)a + 12                       = a2 + 3a + 4a + 12     .....

Here, 1st expression                        = 4x4 + 19x2y2 + 49y4                        = (2x2)2 + 19x2y2 + 49y4     .....

Here, 1st expression                        = 3a4 – 8a3 + 4a2                        = a2(3a2 – 8a + 4)     .....

Here, 1st expression = x4 + x2y2+ y4                        = (x2)2 + 2x2y2 + (y2)2– x2y2                        =(x2 + .....

Here, First expression :                          = 4a3 + 12a2 + 9a                          = a(4a2 + 12a + 9)   .....

Here, 1st expression = 8a3 + b3                        = (2a)3 + (b)3                        = (2a + b) (4a2– 2ab + .....

Here, 1st expression = x3 – 3x2 – x + 3                        = x2(x – 3) – 1(x – 3)                     .....

Here, 1st expression :                = a2 + 2ab + b2 – c2                = (a + b)2– c2                = (a + b + c) .....

Here, First expression:                           = x3 – x2 + x – 1                           = x2(x .....

Here, First expression:                           = 16x4 – 4x2 – 4x – 1                           = .....

Here, 1st expression :9m2 – 4n2 – 4nr – r2 ,                          = 9m2 – (4n2 + 4nr + r2)                 .....

Here, 1st expression                        = 1 + 4x + 4x2 – 16x4                        = 12 + 2. 1. 2x + (2x)2 – .....

Here, 1st expression:                         = 8a3x(a3 – x3)                         = 2.2.2.a3x(a – x)(a2 + ax + .....

Here, 1st expression:                      =x2 + 2xy + y2 – z2                      = (x + y)2 – z2         .....

Here, 1st expression: 2x3 + 16                        = 2(x3 + 8)                        =2(x3 + 23)       .....

Here, 1st expression = a2 – b2 + 2ab – c2 2nd expression = (a + b)2 – c2                          = (a + b + c) (a + b – c) 3rd expression = (a + b – .....

Here, 1st expression = (a2 + 7a + 12)                         = a2 + (3 + 4)a + 12                         = a2 + 3a + 4a + .....

Here, First expression = (x – 1)2                          = (x - 1) (x -1). Second expression = x2 - 3x + 2                   .....

Here,: 1st expression = 6x2 – x – 1                       = 6x2 – (3 – 2)x – 1                       = .....

Here, 1st expression = x4 + x2y2 + y4                        = (x2)2 + 2x2y2 + (y2)2 – x2y2                        = (x2 + .....

Here, 1st expression = m3 – n3                        = (m – n) (m2 + mn + n2). 2nd expression = m4 + m2n2 + n4       .....

Here, 1st expression = 1 + 6a + 9a2 – 81a4                        = (1)2 + 2.1.3a + (3a)2 – (9a2)2                       .....