Answer:
9 x^2 + 24 x + 16 or (3 x + 4)^2
Explanation:
Simplify the following:
(3 x + 4) (3 x + 4)
(3 x + 4) (3 x + 4) = (3 x + 4)^2:
Answer: |
| (3 x + 4)^2
or
Expand the following:
(3 x + 4) (3 x + 4)
(3 x + 4) (3 x + 4) = (3 x + 4)^2:
(3 x + 4)^2
(3 x + 4) (3 x + 4) = (3 x) (3 x) + (3 x) (4) + (4) (3 x) + (4) (4):
3 3 x x + 4 3 x + 4 3 x + 4 4
3 x×3 x = 3×3 x^2:
9 x^2 + 4 3 x + 4 3 x + 4 4
3×3 = 9:
9 x^2 + 4 3 x + 4 3 x + 4 4
4×3 = 12:
9 x^2 + 4 3 x + 12 x + 4 4
4×3 = 12:
9 x^2 + 12 x + 12 x + 4 4
4×4 = 16:
9 x^2 + 12 x + 12 x + 16
Grouping like terms, 9 x^2 + 12 x + 12 x + 16 = 9 x^2 + (12 x + 12 x) + 16:
9 x^2 + (12 x + 12 x) + 16
12 x + 12 x = 24 x:
Answer: |
| 9 x^2 + 24 x + 16