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Algebra

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I need some help multiplying these two sets of binomials.
1. (x+5)(x+3) so I think the answer to this one is x^2+15 is this correct?

2. (x-5)(x+3) I think the answer to this one is x^2-15 but how do you know when to make it a + or a - in the solution?

1. WHat is 5 times x, Plus x times 3?
2. What is -5*x plus + 3*x ?

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