SOLUTION: Explain, in your own words, the step-by-step process to simplifying the expression below. Include the simplified answer in your explanation.
(6x^2 − 5) − (3x^2 + x +
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-> SOLUTION: Explain, in your own words, the step-by-step process to simplifying the expression below. Include the simplified answer in your explanation.
(6x^2 − 5) − (3x^2 + x +
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Question 328450: Explain, in your own words, the step-by-step process to simplifying the expression below. Include the simplified answer in your explanation.
(6x^2 − 5) − (3x^2 + x + 7) Answer by solver91311(24713) (Show Source):
The first thing to do is to remove parentheses. The first set of parentheses has no lead coefficient, so you can just remove them without doing anything else.
Notice that the second set of parentheses has a minus sign in front of it. That is the same as saying there is a coefficient of -1 in front of that set of parentheses, thus:
Use the distributive property to remove this set of parentheses. Effectively, you simply take off the parentheses and change every sign that was formerly inside of the parentheses -- including the understood + sign in front of the first term:
Now you can combine like terms. Terms with the same variable(s) AND the same exponent(s) are alike. It is like adding up things on your kitchen table. If you have 6 apples and 3 apples you can say you have 9 apples. But if you have 6 apples and 3 cookies, that's all you can say: 6 apples and 3 cookies.
And there is no other term like , so putting it all together:
