If a = 3, b = -5 and c = 3, then find the value of :- i) a² + b² + c² + 2( ab + bc + ca ) ii) a³ + b³ - 3abc
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Answer:
i) 1. ii) 287
Step-by-step explanation:
i) a= 3 b= -5 and c=3
= a²+ b²+ c²+ 2( ab + bc + ca )
=(9) + (25) + (9) + 2( -15 -15 +9)
= 43 + 2( -30 +9)
= 43 + 2(-21)
= 43 - 42
=1
ii) a³ +b³ - 3abc
= (27) +( 125) - 3(3) (-5) (3)
= 152 - 9(-15)
= 152 + 135
= 287
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