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If area of a rectangle with length ( a - b) and breadth (2a b) is the same as the algebraic expression Kab 2a² - b², find K.?
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If area of a rectangle with length ( a - b) and breadth (2a b) is th...
Problem Analysis:
We are given the area of a rectangle as (a - b) * (2a + b) and the algebraic expression as Kab + 2a² - b². We need to find the value of K.
Solution:
Let's expand the expression (a - b) * (2a + b) to get a better understanding.
(a - b) * (2a + b) = 2a² + ab - 2ab - b²
Now, let's simplify the algebraic expression Kab + 2a² - b².
Kab + 2a² - b² = Kab + 2a² - b²
Comparing the two expressions, we can see that the coefficients of the terms are the same. Therefore, we can equate the corresponding terms to find the value of K.
From the expansion, we can see that the coefficient of the term ab is -2, while the coefficient of the term Kab is K. Therefore, we have:
K = -2
Answer:
The value of K is -2.
We are given the area of a rectangle as (a - b) * (2a + b) and the algebraic expression as Kab + 2a² - b². We need to find the value of K.
Solution:
Let's expand the expression (a - b) * (2a + b) to get a better understanding.
(a - b) * (2a + b) = 2a² + ab - 2ab - b²
Now, let's simplify the algebraic expression Kab + 2a² - b².
Kab + 2a² - b² = Kab + 2a² - b²
Comparing the two expressions, we can see that the coefficients of the terms are the same. Therefore, we can equate the corresponding terms to find the value of K.
From the expansion, we can see that the coefficient of the term ab is -2, while the coefficient of the term Kab is K. Therefore, we have:
K = -2
Answer:
The value of K is -2.
Community Answer
If area of a rectangle with length ( a - b) and breadth (2a b) is th...
Can you 2 write the expression clearly
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If area of a rectangle with length ( a - b) and breadth (2a b) is the same as the algebraic expression Kab 2a² - b², find K.?
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If area of a rectangle with length ( a - b) and breadth (2a b) is the same as the algebraic expression Kab 2a² - b², find K.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If area of a rectangle with length ( a - b) and breadth (2a b) is the same as the algebraic expression Kab 2a² - b², find K.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If area of a rectangle with length ( a - b) and breadth (2a b) is the same as the algebraic expression Kab 2a² - b², find K.?.
If area of a rectangle with length ( a - b) and breadth (2a b) is the same as the algebraic expression Kab 2a² - b², find K.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If area of a rectangle with length ( a - b) and breadth (2a b) is the same as the algebraic expression Kab 2a² - b², find K.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If area of a rectangle with length ( a - b) and breadth (2a b) is the same as the algebraic expression Kab 2a² - b², find K.?.
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