SOLUTION: This is multiplying binomials mentally, my problem is (x+5)(x+2), when I solved it, I got x^2+3+10. Am I way off, or am I close to the right answer. Please help me. Thank You=)

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Question 147449This question is from textbook algebra
: This is multiplying binomials mentally, my problem is (x+5)(x+2), when I solved it, I got x^2+3+10. Am I way off, or am I close to the right answer. Please help me. Thank You=) This question is from textbook algebra

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Given %28x%2B5%29%28x%2B2%29
To do these 'in your head', you need to look at the coefficients on the x terms. In this case, both are equal to 1. So, the resulting coefficient on the x%5E2 term will be 1%2A1 = 1
Now let's do the constant term:
By looking at the two constants (5 and 2), you can see the last term will be the product of 2%2A5 = 10.
The hardest part if figuring out what the middle term, the x term will be. For that you need to realize that coefficient is a sum or difference of two products. In our case, since both terms have a + sign in them, the resulting x term will be a sum. It is the sum of 1%2A5 + 1%2A2 = 5%2B2 = 7.
So the answer is x%5E2+%2B+7x+%2B+10
If you need a place to verify this type of answer, go here --> http://www.hostsrv.com/webmab/app1/MSP/quickmath/02/pageGenerate?site=quickmath&s1=algebra&s2=expand&s3=basic
That won;t show you the intermediate steps, but will allow you to verify the accuracy of your result.