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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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Q: What is the process and rules for multiplying polynomials?
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