Question

26. Express each of the following as a sum of perfect squares.(a) x²+ y² +z²+ xy + yz -zx (b) 16a² +b²+9c² - 4ab - 3bc -12ca(c) a² + 25b² +4-5ab - 10b - 2a​

Answer 1

Answer:

U try q.no.26.c.

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Answer 2

NOTE - (.)this is the sign of multiplication and at some place 2 is ² not 2 .

Step-by-step explanation:

(b)= 1/2.(2.16a2 + 2. b2 + 2. 9c2 – 8ab – 6bc – 24ca)

= 1/2.(16a2 + 16a2+ b2 + b2 + 9c2 + 9c2 – 8ab – 6bc – 24ca)

= 1/2.(16a2 – 8ab + b2 + b2 – 6bc + 9c2 + 16a2 – 24ca + 9c2)

= 1/2.{(16a2 – 8ab + b2 ) + ( b2 – 6bc + 9c2) + ( 16a2 – 24ca + 9c2)}

= 1/2.{(16a² – 2.4a.b + b²) + ( b² – 2.b.3c + 9c²) + ( 16a²– 2.4a.3c + 9c²)}

= 1/2.{(4a – b)² + ( b-3c )² + ( 4a-3c )²} Answer