Answer:
Think of combining <u>like terms</u> when subtracting polynomials. For example, 3x² and -2x². They both have x² in common. So, if you were to combine 3x² and -2x², it would be like 3x² + (-2x²). Think of this like 3 + (-2), which equals 1. In this case, it would equal 1x² or x².
Let's take this problem for example: 6x² - 3x + 4 - (-2x² +2x - 2)
Parentheses are super important; The first thing you want to do is distribute the negative sign out to everything inside the parentheses!
So,
6x² - 3x + 4 - (-2x² +2x - 2) *multiply the neg. to -2x², 2x, and -2
Now, if you do that, the equation would now look like:
6x² - 3x + 4 + 2x² - 2x + 2
Now think of combining like terms. Here are the like terms:
6x² <em>- 3x</em> <u>+ 4</u> + 2x² <em>- 2x</em> <u>+ 2</u> (Let's rewrite it to look like this...)
6x² + 2x² <em>- 3x</em> <em>- 2x </em><u>+ 4</u> <u>+ 2</u>
Let's combine the x²'s first, so... 6x² + 2x² = 8x²
Let's combine the x's, so...<em> -3x - 2x = -5x</em>
Let's combine the constants (numbers with no variable), so... <u>4 + 2 = 6</u>
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Your solution should be 8x² - 5x + 6
