the result of the polynomial when [tex](2x-8)^2[/tex]is subtracted from [tex]3x[/tex] is
[tex]-4x^2+35x-64[/tex]
Given :
We need to simplify when [tex](2x-8)^2[/tex]is subtracted from [tex]3x[/tex]
Lets subtract[tex](2x-8)^2[/tex] is subtracted from [tex]3x[/tex]
we write the expression as
[tex]3x-(2x-8)^2[/tex]
Now we expand the square
[tex]3x-(2x-8)^2\\3x-(2x-8)(2x-8)\\3x-(4x^2-16x-16x+64)\\3x-4x^2+16x+16x-64\\-4x^2+35x-64[/tex]
The simplified polynomial is
[tex]-4x^2+35x-64[/tex]
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