SOLUTION: Can someone hepl me with this problem please : w(2w^3-9w^2) i just don't understand what you do nd why thanks.

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Question 72750This question is from textbook
: Can someone hepl me with this problem please : w(2w^3-9w^2)
i just don't understand what you do nd why thanks.
This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming you want to distribute the w right? Well if you do, you will want to multiply w by every term inside the parenthesis.
w%282w%5E3-9w%5E2%29Start with given expression
w%2A2w%5E3-w%2A9w%5E2%29Distribute the w. This means that the w is multiplied by 2w^3 and 9w^2
2w%5E4-9w%5E3Simplify the expression. When multiplying 2 variables with exponents you add the exponents (for example x%5E3%2Ax%5E2=x%5E%282%2B3%29=x%5E5)


If that didn't make any sense, or you just are having a hard time understanding distribution, make a simpler problem. For instance try looking at
x%28x%2B5%29
x%28x%2B5%29Distribute the x among x and 5
x%2Ax%2Bx%2A5Simplify
x%5E2%2B5x
To help even further, lets put some numbers into this expression. Let x=2
highlight%282%29%2A%28highlight%282%29%2B5%29place x=2 into each x
2%2A2%2B2%2A5
4%2B10
14
It turns out that if we add the values inside the parenthesis and then multiply, we will get the same answer
2%2A%282%2B5%29
2%2A%287%29
14Which shows that 2%2A%282%2B5%29=2%2A2%2B2%2A5 is true. The reason why we have to distribute in this problem is because we don't know what w is. w could be anything, so we cannot add it to a known value (there's no way to do it). So we distribute the w to simplify the problem, and since there are no further instructions, we'll leave it at
2w%5E4-9w%5E3 Hope this helps. Throughout this problem, I'm assuming that distribution is giving you trouble and I hope I'm correct.