The volume of the first cube is (5h^2)^3, while the volume of the second cube is (3k)^3, so their total volume is (5h^2)^3 + (3k)^3. We can use the special formula for factoring a sum of two cubes:
x^3 + y^3 = (x + y)(x^2 - xy + y^2)
(5h^2)^3 + (3k)^3 = (5h^2 + 3k)((5h^2)^2 - (5h^2)(3k) + (3k)^2)
= (5h^2 + 3k)(25h^4 - 15(h^2)(k) + 9k^2)
This is the second of the given choices.
Answer:
add 99 to 6790
Step-by-step explanation:
6790 +99 = 6889 which is 83 squared
Answer:
1/3
Step-by-step explanation:
2/3 - 1/3
Since the denominators are the same, we subtract the numerators
1/3
Answer:
101280 is the answer
Step-by-step explanation:
Answer:
D. 12 ÷ (2 + 4) × (3 + 5)
Step-by-step explanation:
12 ÷ (2 + 4) × (3 + 5)
⇒ 12 ÷ 6 × 8
⇒ 2 × 8
⇒ 16