Question

Evaluate :
( i )
$(2x + 3y) \times (x - 3)$
​

Answer 1

Answer:

$(x - 3) (2x + 3y) = 2x^2 + 3xy - 6x - 9y$

Step-by-step explanation:

Follow the following steps to multiply the binomials in the horizontal method:

1. First write the two binomials in a row separated by using multiplication sign.

2. Multiply each term of one binomial with each term of the other.

3. In the product obtained, combine the like terms and then add the like terms.

$(x - 3) (2x + 3y)\\= x (2x + 3y) - 3 (2x + 3y)\\= x(2x) + x(3y) - 3(2x) - 3 (3y)\\= 2x^2 + 3xy - 6x - 9y$