evaluate the expression

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[a=8(b-2)]squared 2 divide by 4

Aug 31st, 2015

Hi there! Thank you for the opportunity to help you with your question!

The expression seems ambiguous as it is written. I will solve it in one way, but please let me know if I misinterpreted it.

{[a+8(b-2)]^2}/4

The first step is to distribute the 8*(b-2) = 8b -16:

{[a+8b-16]^2}/4

Then we square the bracket:

[a+8b-16]^2 = a^2 + 8ab -16a +8ab +64b^2 -128b-16a -128b +256  = a^2 +64b^2 +256  +16ab - 32a -256b

And now we have to divide each term by 4:

 {a^2 +64b^2 +256  +16ab - 32a -256b}/4 = a^2/4 + 16b^2 + 64 +4ab - 8a -64b


Please let me know if you need any clarification. Always glad to help!
Aug 31st, 2015

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