Answer: B. ( 3x + 4) ( 3x + 4) or (3x+4)^2
Explanation:
Solve by factoring
9x^2 + 24x + 16 Find two numbers that their product is 144 and their sum is 24. The numbers 12 and 12 works out because 12 times 12 is 144 and 12 plus 12 is 24.
Rewrite the expression in a new way like,
9x^2 + 12x + 12x + 16 Now factor by grouping them into two groups
(9x^2 + 12x) ( 12x + 16) Now factor each group by using the greatest GCF
3x ( 3x + 4) 4( 3x + 4) Factor out 3x +4
(3x + 4) ( 3x + 4)