Factorize the following algebraic expressions: 2.2 (xy + 5y) + (2x + 10) 2.3 Factor these values out of each group and then write down the equivalent algebraic expression. 2.4 What is the common facto

The equivalent algebraic expression is $\boxed{y(x + 5) + 2(x + 5)}$.

The polynomial as a product of two binomials is $\boxed{(x + 5)(y + 2)}$.

From the first group, $3x^2 + 6x$, the GCF is $3x$, so it becomes $3x(x + 2)$.
From the second group, $4x + 8$, the GCF is 4, so it becomes $4(x + 2)$.
The expression is now $3x(x + 2) + 4(x + 2)$.

The common binomial factor is $(x + 2)$.

The factored expression is $\boxed{(x + 2)(3x + 4)}$.