Question

Rewrite the equation x²(Y+3) so that like variables are on the same side.

A. x²Y+3x²−y=0
B. x²Y−3x²−y=0
C. x²Y+y−3x²=0
D. x²Y−y+3x²=0

Answer 1

The equation x²(Y+3) is rewritten by distributing the x² and moving terms to get x²Y - 3x² - y = 0, which matches choice B.

Step-by-step explanation:

The question asks to rewrite the equation x²(Y+3) so that like variables are on the same side.

To do this, we first distribute the x² across the parentheses, giving us x²Y + 3x².

Now, the goal is to rewrite this expression such that it equals zero and therefore forms a proper equation with like variables on one side.

The most straightforward way to achieve this is to subtract x²Y from both sides, resulting in the equation 3x² = x²Y.

Then, subtract 3x² from both sides to get 0 = x²Y - 3x².

This corresponds to choice B: x²Y - 3x² - y = 0.