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Multiplying a Polynomial by a Polynomial - Multiplying a Binomial by a Binomial

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Let us multiply one binomial (2a + 3b) by another binomial, say 
(3a + 4b). 
(3a + 4b) × (2a + 3b) = 3a × (2a + 3b) + 4b × (2a + 3b)
= (3a × 2a) + (3a × 3b) + (4b × 2a) + (4b × 3b) 
= `6a^2 + 9ab + 8ba + 12b^2` 
= `6a^2 + 17ab + 12b^2`                      (Since ba = ab) 
We Observe that , every term in one binomial multiplies every term in the other binomial.
In multiplication of polynomials with polynomials, we should always look for like terms, if any, and combine them.

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