Manipulate this Expression: (16*K/R)*[cosh(y/2) - 1] + 2*(K^2)*[cosh(y) - 1]

BlastOff

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Mar 5, 2017
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I've been told the following expression can be manipulated into a product of squared terms.

(16*K/R)*cosh(y/2) + 2*(K^2)*cosh(y) - (16*K/R) - 2*(K^2)

(16*K/R)*[cosh(y/2) - 1] + 2*(K^2)*[cosh(y) - 1]

In order to do this, I've been told there should be an intermediate step,

(A/B + 1)*B

where B is a product of squared terms, and the expression inside the parentheses can itself be manipulated into a squared term.

Tried using some double/half angle substitutions, the exponential forms of sinh and cosh, etc. Nothing has clicked yet.

Does anyone else see how this can be done? Thanks.
 
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