Question

$(4x ^{2} + 3x + \frac{1}{2} )\div(2x + 1)$
please expand it.​

Answer 1

Step-by-step explanation:

(4x²+3x+1/2)÷(2x+1)

= (4x²+x+2x+1/2)÷(2x+1)

= x(4x+1)+(4x+1)/2÷(2x+1)

=x(4x+1)+1/2(4x+1)÷(2x+1)

= (x+1/2)(4x+1)÷(2x+1)

= (2x+1÷2)(4x+1)÷(2x+1)

=(2x+1)(4x+1)÷(2x+1)×2

=(4x+1)÷2