Question

simplify.
$(x^{2}y - 2x) + (-3x^{2} + 4x^{2}y - 5x)$

Explanation:

Step1: Remove parentheses

To simplify the expression \((x^{2}y - 2x)+(- 3x^{2}+4x^{2}y - 5x)\), we first remove the parentheses. When there is a positive sign in front of a parenthesis, the terms inside remain the same. So we get \(x^{2}y - 2x-3x^{2}+4x^{2}y - 5x\).

Step2: Combine like terms

• For the \(x^{2}y\) terms: We have \(x^{2}y\) and \(4x^{2}y\). Combining them, we add their coefficients. The coefficient of \(x^{2}y\) is \(1\) and for \(4x^{2}y\) is \(4\). So \(x^{2}y + 4x^{2}y=(1 + 4)x^{2}y = 5x^{2}y\).
• For the \(x\) terms: We have \(-2x\) and \(-5x\). Combining them, we add their coefficients. The coefficient of \(-2x\) is \(-2\) and for \(-5x\) is \(-5\). So \(-2x-5x=(-2-5)x=-7x\).
• The \(-3x^{2}\) term has no like terms, so it remains as it is.

Putting it all together, we have \(5x^{2}y-3x^{2}-7x\).

Answer:

\(5x^{2}y - 3x^{2}-7x\)