Q1 of 36 Page 28

Expand

(3x + 4y – 5p)2

(3x + 4y – 5p)2 =(3x)2 +(4y)2 +(- 5p)2 + [ 2 ×(3x) ×(4y)] + [ 2 ×(4y)×(- 5p)] + [ 2 ×(3x)×(- 5p)]


{ ∵(a + b +c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac }


= 9x2 + 16y2 + 25p2 + [ 24xy ] + [ – 40yp ] + [– 30xp ]


= 9x2 + 16y2 + 25p2 + 24xy – 40yp – 30xp


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(x – 2y + 3)2 +(x + 2y – 3)2