Question 147449
Given {{{(x+5)(x+2)}}}

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^2}}} term will be {{{1*1}}} = 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*5}}} = 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*5}}} + {{{1*2}}} = {{{5+2}}} = 7.

So the answer is {{{x^2 + 7x + 10}}}

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That won;t show you the intermediate steps, but will allow you to verify the accuracy of your result.