Question

how to multiple a binomial by a trinomail
no spmm
no coping
give answer with example ​

Answer 1

hey mate here is ur answer.....

We have multiplied monomials by monomials, monomials by polynomials, and binomials by binomials. Now we’re ready to multiply a trinomial by a binomial. Remember, the FOIL method will not work in this case, but we can use either the Distributive Property or the Vertical Method. We first look at an example using the Distributive Property

Answer 2

Answer:-

Multiplying a Binomial by a trinomail

In this multiplication, we shall have to multiply each of the three terms in the trinomail by each of terms with the binomial.

Example:

$\binom{a + 7}{ bionomial} \times \binom{a {}^{2} + 3a + 5}{trinomial} \\ = a \times (a {}^{2} + 3a + 5) + 7 \times (a {}^{2} + 3a + 5)$

[Using the distributive law ]

$= a{}^{2} + 3a {}^{2} + 5a + 7a {}^{2} + 21a + 35$

$= a {}^{3} + (3a {}^{2} + 7a {}^{2} + 21a + 35$

$= a {}^{3} + 10a {}^{2 + 26a + 35}$

There are only 4 terms in the final results!!

Hence multiplying a binomial by a trinomail done✔️