Question

Combine like terms.
2y³-2y³+2y+4x-7x+4x-4y

Answer 1

The algebraic expression simplifies to “x - 2y” after combining like terms by adding the coefficients of x and y terms respectively.

Step-by-step explanation:

To combine like terms in the algebraic expression 2y³-2y³+2y+4x-7x+4x-4y, we first identify terms that have the same variables raised to the same power. In this expression:

• The terms 2y³ and -2y³ are like terms and cancel each other out because they are equal in magnitude and opposite in sign.
• The terms 4x, -7x, and 4x are like terms and can be combined by adding their coefficients.
• The terms 2y and -4y are like terms and can be combined similarly.

Combining the x terms:

4x - 7x + 4x = 1x, which can be simplified to just x.

Combining the y terms:

2y - 4y = -2y

The simplified expression after combining like terms is:

x - 2y.