The expression needs to be simplified to get the final answer.
Hint:
- x - = +
- x + = -
+ x - = -
+ x + = +
A negative number multiplied by a negative number gives a positive number.
A negative number multiplied by a positive number gives a negative number.
A positive number multiplied by a negative number gives a negative number.
A positive number multiplied by a positive number gives a positive number.
[tex]\begin{gathered} (3x^2+2x-5)-(5x^2-4x+1) \\ U\sin g\text{ the negative sign outside the bracket to expand the bracket by multiplying through,} \\ 3x^2+2x-5-5x^2+4x-1 \\ \text{Collecting the like terms,} \\ 3x^2-5x^2+2x+4x-5-1 \\ -2x^2+6x-6 \end{gathered}[/tex]
Therefore, the simplified expression is
[tex]-2x^2+6x-6[/tex]
The correct answer is option B.
