Answer: Institutional Review Board
Answer:
-6x (x + 1)(x - 1)
Explanation:
Before we begin, remember the following:
(-ve) * (-ve) = +ve
(-ve) * (+ve) = -ve
(+ve) * (+ve) = +ve
(+ve) * (-ve) = -ve
a² - b² = (a + b)(a - b)
Now, for the given:
(4x³ + 3x² - 6x) - (10x³ + 3x²)
First, we eill remove the brackets based on the rules mentioned above. This will give us:
4x³ + 3x² - 6x - 10x³ - 3x²
Now, we will combine like terms as follows:
(4-10)x³ + (3-3)x² - 6x
-6x³ - 6x
Taking -6x as a common factor:
-6x (x² - 1)
Factoring the bracket as difference between two squares will give us the final simplest form:
-6x (x + 1)(x - 1)
Hope this helps :)
<h3>Answer:</h3>
15.36 cm
<h3>Explanation:</h3>
The Pythagorean theorem tells you ...
... AC² = AB² + BC² . . . . . relation for face diagonal
... AD² = AC² + CD² . . . . . relation for space diagonal
Subsituting the expression for AC² given by the first equation, the second equaiton becomes ...
... AD² = AB² + BC² + CD²
... AD² = (100 cm²) + (100 cm²) + (36 cm²) = 236 cm²
Taking the square root, we have ...
... AD = √236 cm = 2√59 cm
... AD ≈ 15.36 cm
