(\frac{147\times147+147\times143+143\times143}{147\times147\times147-143\times143\times143}) is simplified to:

Simplification Test 2

Question : 26 of 40

Marks: +1, -0

({147×147+147×143+143×143}/{147×147×147-143×143×143})

is simplified to:

Solution:

{x^2+xy+y^2}/{x^3-y^3}

=(x^2+xy+y^2)/{(x-y)(x^2+xy+y^2)}

=1/{x-y}

(where, x = 147; y = 143)
Now,

1/{x-y}=1/{147-143}=1/4

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