Problem
Question 8 of 15 , Step 1 of 1 $6 / 15$ Correct MALIA WILLIAMS Completely factor the expression by grouping, if possible. \[ 3 x y+12 x+5 y+20 \] Answer How to enter your answer (opens in new window) Keyboard Shortcuts Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used. Not Factorable By Grouping
Solution
Step 1 ：Given the expression $3xy + 12x + 5y + 20$. To factor by grouping, we first need to group the terms in such a way that we can factor out a common factor from each group.
Step 2 ：Group the terms as $(3xy + 12x) + (5y + 20)$.
Step 3 ：From the first group, factor out $3x$ to get $3x(y + 4)$.
Step 4 ：From the second group, factor out $5$ to get $5(y + 4)$.
Step 5 ：Both terms have a common factor of $(y + 4)$. So, factor out $(y + 4)$ to get the final factored form of the expression.
Step 6 ：The factored form of the expression $3xy + 12x + 5y + 20$ by grouping is \(\boxed{(3x + 5)(y + 4)}\).
