Simplify -(7-6x)+4x(7x+6)

Question

Simplify -(7-6x)+4x(7x+6)

Answer 1

Hi Daniela!

 

Ok, so we have an expression to simplify.

 

let's do some quick basics:

 

1.  What is 2x + 4x?  That is, how do I combine terms that both have a single x in them?  And how about 4x - 2x instead?

2.  What is -1 * -5x?  That is, if I have a negative in front of a negative, what does that do?

3.  What is 3x * 2x?  That is, if I have two terms multiplied together, and each of them has two things multiplied together, then how do I do that?  3x is just 3*x, so what I have is 3 * x * 2 * x.  What's that, put together?

4.  Next:  if I have 2(x + 5)...something added together, like "x + 5," multiplied by something else, like "2," then how do I multiply those two things together?  Hint:  distribute.

5.  Last:  if I have a negative in front of parentheses, like -(5 + x), then how does that work, and what do I do with it?  Hint:  the negative is sorta like a -1.

 

If you can do all of those, then you have stuff in parentheses that you can deal with (based on #4 and #5, with some help from #2 and #3), and once you have everything laid out, then you can combine terms like in #1.

 

#6.  If you end up with things like x², plus something with an x, plus a number...then what do you do with that?  Can you factor it?

 

Does this help?

 

-- Michael

Answer 2

We want to clear the ()'s and then combine like terms

 

7+6x+28x²+24x : multiply the first term by (-1). Multiply the second term by 4x.

 

28x²+30x+7 : combine the x terms. This is the simplified expression.

 

Jim