Multiply each monomial in the first polynomial with each monomial in the second polynomial. Then add everything up. This follows from the distributive property.
Thus, for example:
(a + b)(c + d)
= ac + ad + bc + bd
Often you can combine terms after adding:
(x + 3)(x + 5)
= x2 + 5x + 3x + 5
= x2 + 8x + 5
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You just multiply the term to the polynomials and you combine lije terms
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