Question

Divide if there is no remainder enter the quotient if there is a remainder enter your answer as quotient

Answer 1

Given expression,

$(8t^3-125)\div(2t-5)$

Solving,

$(8t^3-125)=((2t)^3-5^3)=(2t-5)(4t^2+10t+25)$

Thus,

$(8t^3-125)\div(2t-5)=\lbrack(2t-5)(4t^2+10t+25)\rbrack\div(2t-5)=(4t^2+10t+25)$

The answer is

$4t^2+10t+25$