Question

What should be subtracted from 8y* - 17y' +2 so that (4y-8y) becomes its factor?
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Answer 1

Given Data:

                   What should be subtracted from 8y* - 17y' +2 so that (4y-8y) becomes its factor?

To find:

           What should be subtracted

solution:

       let what should be subtracted be '$x$'

$8y-17y+2-(x)=(4y-8y)\\-x=4y-8y-(8y-17y+2)\\-x=4y-8y-8y+17y-2)\\-x=(5y-2)\\x=-(5y-2)\\x=-5y+2$

To verify ,

our answer is correct

$L.H.S=8y-17y+2-(-5y+2)\\L.H.S=-9y+2+5y-2\\L.H.S=-4y\\\\R.H.S=4y-8y\\R.H.S=-4y$

Hence proved

Answer:  ($-5y+2$)should be subtracted from 8y - 17y +2 so that (4y-8y) becomes its factor