Question

TEMA: 1.1 Multiplicación de monomio por binomio 1. Dibuja el rectángulo formado por las siguientes expresiones algebraicas y encuentra el área que resulta al dividir las piezas. a) b) 2x ( x + y )

Answer 1

To solve the multiplication of a monomial by a binomial, we use the distributive property and combine like terms. The area obtained by dividing the pieces formed by the given expression is 2x² + 2xy.

Step-by-step explanation:

To solve the multiplication of a monomial by a binomial, we can use the distributive property. We multiply the monomial by each term in the binomial and then combine like terms. Let's solve the given expression:

1. a) 2x(x + y) = 2x × x + 2x × y
2. Expanding further, we have 2x² + 2xy

The area that results from dividing the pieces formed by the expression 2x(x + y) is 2x² + 2xy. This is the simplified expression obtained by multiplying a monomial by a binomial.