perform operation & simplify: (4x + 5)(x - 1) - (2x - 3)

humm35555

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I am trying to help my son with this algebra question...can anyone help me?

(4x + 5)(x - 1) - (2x - 3)^2
 
Re: perform indicated operation & simplify

humm35555 said:
I am trying to help my son with this algebra question...can anyone help me?

(4x + 5)(x - 1) - (2x - 3)^2

I'll do a similar problem

(9x +5)(4x - 3) - (6x + 1)^2

expand the terms

(9x +5)(4x-3) = 36x^2 - 27x + 20x - 15 = 36x^2 - 7x - 15 ... collect similar terms

(6x +1)^2 = 36x^2 + 12x + 1... collect similar terms

So

(9x +5)(4x - 3) - (6x + 1)^2

= 36x^2 - 7x - 15 - (36x^2 + 12x + 1)

= 36x^2 - 7x - 15 - 36x^2 - 12x - 1... collect similar terms

= - 19x - 16
 
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