Q1 of 36 Page 28

Expand

(7m – 3n – 4k)2

(7m – 3n – 4k)2 =(7m)2 +(- 3n)2 +(- 4k)2 + [ 2 ×(7m)×(-3n)] + [ 2 ×(-3n)×(-4k)] + [ 2 × (7m)×(-4k)]


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


=49m2 + 9n2 + 16k2 + [ – 42mn ] + [ 24nk ] + [ – 56mk ]


= 49m2 + 9n2 + 16k2 – 42mn + 24nk – 56mk


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(3k – 4r – 2m)2 -(3k + 4r – 2m)2