Find the product : abc (a2+6²-3asquare)
Answers
Answered by
3
Step-by-step explanation:
square root of A2 + 6282 + H2 is divided then and square root is left by 5
Answered by
23
Answer:
(a-b-c)(a²+b²+²+ab-bc+ca)
=a³-b³-c³-3abc
Step-by-step explanation:
we know the algebraic identity:
(x+y+z)(x²+y²+z²-xy-yz-zx)
=x³+y³+z³-3xyz--(1)
Now,
we have,
(a-b-c)(a²+b²+c²+ab-bc+ca)
=[a+(-b)+(-c)][a²+(-b)²+(-c)²-a(-b)-(-b)-c)-(-c)a]
= a³+(-b)³+(-c)³-3a(-b)(-c)
= a³-b³-c³-3abc /* From (1)
Therefore,
(a-b-c)(a²+b²+²+ab-bc+ca)
=a³-b³-³-3abc
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