Answer:
Distributive property.
Explanation:
A distributive property is a rule that states that, multiplying two factors such as a binomial and trinomial would give the same result as multiplying the sum of two addends by the other factor.
Hence, the distributive property is used to simplify the product of a binomial and trinomial.
For example, let's find the product of (2x + 4)(5x² + 3x + 10)
First of all, we would distribute trinomial into each of the term in the binomial.
2x(5x² + 3x + 10) + 4(5x² + 3x + 10)
Distributing the monomial into the trinomial, we have;
2x(5x²) + 2x(3x) + 2(10) + 4(5x²) + 4x(3x) + 4(10)
Expanding the bracket, we have;
10x³ + 6x² + 10 + 20x² + 12x² + 40
Collecting like terms, we have;
10x³ + (6x² + 20x² + 12x²) + 10 + 40
10x³ + 38x² + 50
Therefore, (2x + 4)(5x² + 3x + 10) = 10x³ + 38x² + 50