Question

If x=a=y: 6=0 C Let us prove that
343+23
- 272
a3b3c3
СЪС​

Answer 1

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1

Laly9644

21.06.2018

Math

Secondary School

+13 pts

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If x/a=y/b=z/c prove that x3/a3 - y3/b3 + z3/c3 = xyz/abc

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Noah11

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let x/a=y/b=z/c be = k

...hence, x=ak, y=bk,z=ck....

.

.

now put these values in the formulae to be proved.

LHS will be,

(a³k³/a³)-(b³k³/a³)+(c³k³/c³)

=k³-k³+k³

=k³

.

.

RHS will be,

ak*bk*ck/abc

=k*k*k

=k³

HENCE PROVED,

LHS=RHS....:)

Hope it helps!!

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