When using the binomial formula, which of the following is a correct step in the expansion of (x+y)^4?

1 answer:

5 0

(X+y)^2(x+y)^2
(X^2+2xy+y^2)(X^2+2xy+y^2)
X^2(x^2+2xy+y)+2xy(x^2+2xy+y)+y^2(x^2+2xy+y)

X^4+4x^3y+6x^2y^2+4xy^3+y^4 is the answer.i didn't write all the steps as I would have been too long and complicated

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Step-by-step explanation:

To prove the given identity, we solve the left hand side and right hand side expressions and show that they are equal.

So we get $\frac{2\sec x+1}{\sec x}\\\\=\frac{2\sec x}{\sec x}+\frac{1}{\sec x}\\\\= 2+\cos x\\\\\text{since the left hand side and right hand side expression are same, so}\\\text{it verifies the identity.}$

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