Q. 1 A4.6( 7 Votes )

Expand the following

(5x + 2y + 3z)2

Answer :

(5x + 2y + 3z)2


The identity is


(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx


(5x + 2y + 3z)2


= (5x)2 + (2y)2 + (3z)2 + 2(5x)(2y) + 2(2y)(3z) + 2(3z)(5x)


= 25x2 + 4y2 + 9z2 + 20xy + 12yz + 30zx


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