A student simplified the expression. Identify the errors and correct them.

3p^2*q+2p-(5q+p-2p^2*q)=q^2*p=3p-5q

1 answer

The student made a few errors in simplifying the expression. Here are the corrections:
1) The expansion -(5q+p-2p^2*q) should be simplified correctly: -(5q + p) + 2p^2*q.
2) The expression on the left side, 3p^2*q + 2p - (5q + p) + 2p^2*q, is not simplified correctly. We combine like terms to simplify further.
3p^2*q + 2p - 5q - p + 2p^2*q
= 5p^2*q + p - 5q
3) The student wrote q^2*p instead of p^2*q on the right side of the equation.
The corrected equation is: 5p^2*q + p - 5q = p^2*q - 3p + 5q