The factorization of the expression 36x⁴y³ - 16x³y is 4x³y(9xy² - 4)
<h3>Factorization</h3>
Factorization or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorization of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.
To the factor, a number means to break it up into numbers that can be multiplied to get the original number.
In the given expression, 36x⁴y³ - 16x³y can be factorized as
36x⁴y³ - 16x³y = 4x³y(9xy² - 4)
The common factor in the expression is 4x³y
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They are equal to each other.
The equation
is true
<h3>How to determine the true statement?</h3>
The equation is given as
![\sqrt[3]{-3} \cdot \sqrt[3]{-5} = \sqrt[3]{15}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-3%7D%20%5Ccdot%20%5Csqrt%5B3%5D%7B-5%7D%20%3D%20%5Csqrt%5B3%5D%7B15%7D)
Apply the law of indices
![\sqrt[3]{-3 * -5} = \sqrt[3]{15}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-3%20%2A%20-5%7D%20%3D%20%5Csqrt%5B3%5D%7B15%7D)
Evaluate the product
![\sqrt[3]{15} = \sqrt[3]{15}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B15%7D%20%3D%20%5Csqrt%5B3%5D%7B15%7D)
Both sides of the equation are the same
Hence, the equation
is true
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Answer:
The decibel range is 
Step-by-step explanation:
Let
d -----> the decibel level of the music
we know that
The absolute value of the difference of the decibel level of the music and its average, must be less than or equal to 28 decibels
so
The absolute value that represent this problem is

Solve the absolute value
<em>First solution (positive)</em>

Adds 110 both sides


<em>Second solution (negative)</em>

Multiply by -1 both sides

Adds 110 both sides


therefore
The decibel range is
