Question

Which of the following is not one of the terms of the resulting expression when we multiply $2x{y}^2$ and $(4xy+2+x)$.

Answer 1

$2x{y}^2\times (4xy+2+x)=2x{y}^2\times 4xy+2x{y}^2\times 2+2x{y}^2\times x$
$=8x^2{y}^3+4x{y}^2+2x^2{y}^2$

Hence, $8x^3{y}^2$ is not one of the terms of the resulting expression.