Question

plzz explain me.... why alpha² + beta² = (alpha + beta )² - 2alpha²+beta²


(for convenient, the question was If alpha and beta are the zeroes of the polynomial ax + bx + c.
then find alpha⁴+ beta⁴ ? )

Answer 1

Let us take alpha as A and beta as B.

As we know ,

( A + B )² = A² + B² + 2AB

( A + B )² - 2AB = A² + B²
so ,

( alpha + beta )² - 2 alpha . beta = alpha ² + beta²

Answer 2

Answer:

Step-by-step explanation: (alpha+ Beta)^2 = apha^2 + beta^2 + 2alpha beta

Now if we subtract 2alphabeta from (alpha + beta )^2 we get alpha^2 + beta^2

Hope it will help us

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