please answer this......
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Step-by-step explanation:x3+y3+z3-3xyz= (x + y + z) (x2 +y2 + z2 yz zx xy)
x3+y3+z3=(x +y + z) (x2+y2+ z2yz zx xy) + 3xyz ( Rearranging the terms)
Putting the values,
x3+y3+z3= (1) {(x2+y2+ z2- ( -1)} +3 (-1)
x3+y3+z3= (1) (x2+y2+ z2+1 ) -3 ------------------- Equation1
Now,
x2+y2+ z2
(x+y+z)2 =x2+y2+ z2+ 2 (xy+yz+zx)
(1)2 =x2+y2+ z2+2(-1)
1 =x2+y2+ z2-2
3=x2+y2+ z2----------------------------- Equation 2
Putting values of 2 on 1, we get
x3+y3+z3= (1) (3+1 ) -3
x3+y3+z3= (1) (4) -3
x3+y3+z3 = 1
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1
Answer:
Hey mate please refer to the attachment
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