if the cenroid of the triangle formed by(p,q),(p,1) and(1,p)is the original,then p cube +q cube -3pq=
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centroid (0,0)
(p+p+1)/3 =0
2p+1=0
2p = -1
p= -1/2
(q+1+p)/3 = 0
p+q+1 = 0
q-1/2+1 = 0
q+1/2 = 0
q = -1/2
p³ +q³-3pq = (-1/2)³+(-1/2)³-3(-1/2)(-1/2)
= -1/8 -1/8 -3/4
= -2/8 -3/4
= -1/4 - 3/4
= -4/4
= -1
Step-by-step explanation:
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