Question

Factorize (3x - dy + 3d + xy).

a) (3(x + y) - d(x - 3))

b) (3(x + d) - y(x - 3))

c) (3(x + d) + y(x - 3))

d) (3(x - y) + d(x + 3))

Answer 1

To factorize the expression (3x - dy + 3d + xy), we group the terms in pairs and factor out the common factors from each pair. The correct factorization is (3(x + y) - d(x - 3)).

Step-by-step explanation:

To factorize the expression (3x - dy + 3d + xy), we can group the terms in pairs and factor out the common factors from each pair:

(3x - dy) + (3d + xy)

Now, we can factor out the common factors from each pair:

x(3 - y) + 3d(1 + y)

Combining like terms, we get: x(3 - y) + 3d(1 + y)

Therefore, option a) (3(x + y) - d(x - 3)) is the correct factorization.