how would you factor xy+4y+xz+4z

thanks in advance

x(y + z) + 4 (y + z) = (x+4)(y+z)

To factor the expression xy+4y+xz+4z, we can use the distributive property and group the common terms together.

Step 1: Group the terms with common factors.
xy + 4y + xz + 4z = (xy + 4y) + (xz + 4z)

Step 2: Factor out the common factor from each group.
xy + 4y = y(x + 4)
xz + 4z = z(x + 4)

Step 3: Notice that both groups have a common factor of (x + 4).

Step 4: Write the factored form by factoring out the common factor.
(xy + 4y) + (xz + 4z) = y(x + 4) + z(x + 4)

Step 5: Factor out the common factor again to simplify the expression.
y(x + 4) + z(x + 4) = (x + 4) * (y + z)

Therefore, the factored form of xy + 4y + xz + 4z is (x + 4)(y + z).