Which of the following expressions is factored form of 3x(y+1) + 4z(y+1)
To find the factored form of the given expression, we can factor out the common factor (y+1).
The expression 3x(y+1) + 4z(y+1) can be factored as:
(y+1)(3x + 4z)
So, the factored form of the given expression is (y+1)(3x + 4z).
To find the factored form of the expression 3x(y+1) + 4z(y+1), we can start by noticing that both terms have a common factor of (y+1). To factor it out, we can rewrite the expression as:
(3x + 4z)(y+1)
Therefore, the factored form of 3x(y+1) + 4z(y+1) is (3x + 4z)(y+1).
To find the factored form of the expression 3x(y+1) + 4z(y+1), we can factor out the common factor (y+1) from both terms.
Step 1: Identify the common factor
The common factor in this expression is (y+1).
Step 2: Factor out the common factor
To factor out the common factor (y+1), divide each term by (y+1):
3x(y+1)/(y+1) + 4z(y+1)/(y+1)
Simplifying this expression, we get:
3x + 4z
Therefore, the factored form of the expression 3x(y+1) + 4z(y+1) is 3x + 4z.