Question

Write an algebraic expression that includes a sum and a product.

a) (2x + 3y)
b) (xy + 2)
c) (x + y)
d) (3x . 4y)

Answer 1

An algebraic expression containing both a sum and a product is represented by option b) (xy + 2), where 'xy' is the product and the number '2' is added to it.

Step-by-step explanation:

An algebraic expression that includes both a sum and a product is a combination of addition and multiplication of variables and/or numbers. Taking the options provided:

• (2x + 3y) indeed contains a sum, with '2x' and '3y' being two separate terms that are added together.
• (xy + 2) also fulfills the requirement, with the product 'xy' and the number '2' being summed.
• (x + y) is just a sum, without involving any product.
• (3x . 4y) is purely a product, as indicated by the dot symbol used for multiplication between '3x' and '4y'.

Therefore, looking at these expressions, option b) (xy + 2) is the correct answer, combining both a sum and a product as requested.