Question

4. The expression (3x –8)(2x+5)-(x+1)(2x+5) can be written as the product of 2x+5

with what other binomial?
(1) 4x-7
(3) 2x-7
(2) 2x-9
(4) 4x-9

Answer 1

option 3 : (2x - 7 )

Explanation:

ax + bx = x(a+ b)

a(x+ y) + b(x+y) = (x+y)(a+b)

`(3x - 8 ) ( 2x + 5) - (x + 1)(2x + 5)\\\\(2x+5)[ (3x - 8) - (x+1) ]` [ (2x + 5) is common is both terms ]

`(2x+ 5)(3x -8 -x + 1)\\\\(2x+ 5)(2x - 7)`

Therefore , the binomial is ( 2x - 7)