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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We are given
edge of cube =x
we know that formula for volume of cube

we are given

we can plug value

now, we can solve for x
![\sqrt[3]{x^3} =\sqrt[3]{\frac{1}{8} cm^3 }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D%20%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B8%7D%20cm%5E3%20%7D)
............Answer
Y=4x i believe is the answer
Answer:
about 6.40 units
Step-by-step explanation:
The distance formula is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
For the given points, the distance between them is ...
d = √((9 -13)^2 +(-4-1)^2) = √((-4)^2 +(-5)^2) = √(16 +25)
d = √41 ≈ 6.40
The distance between the points is about 6.40 units.
Answer: 74
Step-by-step explanation:
Substitute x=6 into the expression
(x+4) . 2^3 -6
Add the numbers
(6+4) . 2^3- 6
10 x 2^3 -6
Evaluate the power
10 x 2^3 -6
10 x 8-6
Multiply the numbers
10 x 8-6
80-6
Subtract the numbers
80-6
74