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Factorize 1/27(2x 5y)3 -5/3y 3/4z)3 - 3/4z 2/3x)3?
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Factorize 1/27(2x 5y)3 -5/3y 3/4z)3 - 3/4z 2/3x)3?
Factorizing 1/27(2x 5y)3 -5/3y 3/4z)3 - 3/4z 2/3x)3
Given expression: 1/27(2x 5y)3 -5/3y 3/4z)3 - 3/4z 2/3x)3
Step 1: Identify the common factors
We can see that each term in the expression contains a common factor of (2x 5y)3. So, we can factorize this common factor out:
1/27(2x 5y)3 -5/3y 3/4z)3 - 3/4z 2/3x)3 = (2x 5y)3(1/27 - 5/3y 3/4z/(2x 5y)3 - 3/4z 2/3x/(2x 5y)3)
Step 2: Simplify the fraction
To simplify the fraction, we need to find a common denominator. The least common multiple of 2, 3, and 4 is 12. So, we can write:
-5/3y 3/4z = -20/12y 3/4z = -5/3y 9/12z = -5/4y 3/4z
Similarly,
3/4z 2/3x = 9/12z 8/12x = 3/4z 2/3x
Step 3: Final factorization
Substituting the simplified fractions in the expression, we get:
(2x 5y)3(1/27 - 5/4y 3/4z/(2x 5y)3 - 3/4z 2/3x/(2x 5y)3)
This is the final factorization of the given expression.
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Factorize 1/27(2x 5y)3 -5/3y 3/4z)3 - 3/4z 2/3x)3?
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Factorize 1/27(2x 5y)3 -5/3y 3/4z)3 - 3/4z 2/3x)3?
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Factorize 1/27(2x 5y)3 -5/3y 3/4z)3 - 3/4z 2/3x)3? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Factorize 1/27(2x 5y)3 -5/3y 3/4z)3 - 3/4z 2/3x)3? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Factorize 1/27(2x 5y)3 -5/3y 3/4z)3 - 3/4z 2/3x)3?.
Factorize 1/27(2x 5y)3 -5/3y 3/4z)3 - 3/4z 2/3x)3? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Factorize 1/27(2x 5y)3 -5/3y 3/4z)3 - 3/4z 2/3x)3? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Factorize 1/27(2x 5y)3 -5/3y 3/4z)3 - 3/4z 2/3x)3?.
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