Which factorization is equivalent to this expression? 30x+70
10(x+7)
10(3x+7)
30(x+2)
7(3x+10)
The correct factorization that is equivalent to the expression 30x+70 is 10(3x+7).
The factorization that is equivalent to the expression 30x+70 is 10(3x+7).
To determine which factorization is equivalent to the expression 30x + 70, we need to factor out the greatest common factor (GCF) from both terms.
Step 1: Find the GCF of the terms 30x and 70.
The GCF of 30x and 70 is 10.
Step 2: Divide each term by the GCF.
30x ÷ 10 = 3x
70 ÷ 10 = 7
Step 3: Express the factored form using the GCF.
The factored form of 30x + 70 using the GCF 10 is 10(3x + 7).
Therefore, the factorization equivalent to the expression 30x + 70 is 10(3x + 7).