Math, asked by Aadhi002, 6 months ago

P=3-a prove that a^2+5ap+p^3-6=0

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Answered by Dhwanipareek
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If p = 2 - a then prove tha...

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Asked on December 26, 2019 by

Moumita Nagar

If p=2−a then prove that a

3

+6ap+p

3

−8=0

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ANSWER

Given p=2−a

to prove a

3

+6ap+p

3

−8=0...(1)

Now put the value of P in eq (1)

a

3

+6a(2−a)+(2−a)

3

−8=0

⇒a

3

+12a−6a

2

+8−a

3

−12a+6a

2

−8=0

[∴(a−b)

3

=a

3

−b

3

−3a

2

b+3ab

2

]

⇒0=0 (By eliminating equal terms we

have LHS = RHS)

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