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Find third proportion between A²-b² and (a b)² is Ans is (a b)³/a-b.how can anyone explain?
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Find third proportion between A²-b² and (a b)² is Ans is (a b)³/a-b.ho...
To find the third proportion between A²-b² and (a b)², we can follow the below steps:
Step 1: Write down the given values
A²-b² and (a b)²
Step 2: Write down the formula for the third proportion
If a, b, and c are in proportion, then a/c = c/b, which can be rearranged as c² = ab.
Step 3: Apply the formula to the given values
Let the third proportion be x. Then we have:
x² = (A²-b²) * (a b)²
Step 4: Simplify the equation
x³ = (A²-b²) * (a b)² * x
Divide both sides by (A²-b²) * (a b)²:
x = x³ / (A²-b²) * (a b)²
Step 5: Simplify the equation further
x = (a b)³ / (a b)² * (a²-b²)
Step 6: Simplify using the difference of squares formula
a²-b² = (a+b) * (a-b)
Substitute this into the equation:
x = (a b)³ / (a b)² * (a+b) * (a-b)
Step 7: Simplify further
x = (a b) * (a b)² / (a+b) * (a-b)
Step 8: Cancel out the common factors
x = (a b)³ / (a²-b²)
Therefore, the third proportion between A²-b² and (a b)² is (a b)³ / (a²-b²).
Step 1: Write down the given values
A²-b² and (a b)²
Step 2: Write down the formula for the third proportion
If a, b, and c are in proportion, then a/c = c/b, which can be rearranged as c² = ab.
Step 3: Apply the formula to the given values
Let the third proportion be x. Then we have:
x² = (A²-b²) * (a b)²
Step 4: Simplify the equation
x³ = (A²-b²) * (a b)² * x
Divide both sides by (A²-b²) * (a b)²:
x = x³ / (A²-b²) * (a b)²
Step 5: Simplify the equation further
x = (a b)³ / (a b)² * (a²-b²)
Step 6: Simplify using the difference of squares formula
a²-b² = (a+b) * (a-b)
Substitute this into the equation:
x = (a b)³ / (a b)² * (a+b) * (a-b)
Step 7: Simplify further
x = (a b) * (a b)² / (a+b) * (a-b)
Step 8: Cancel out the common factors
x = (a b)³ / (a²-b²)
Therefore, the third proportion between A²-b² and (a b)² is (a b)³ / (a²-b²).
Community Answer
Find third proportion between A²-b² and (a b)² is Ans is (a b)³/a-b.ho...
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Find third proportion between A²-b² and (a b)² is Ans is (a b)³/a-b.how can anyone explain?
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Find third proportion between A²-b² and (a b)² is Ans is (a b)³/a-b.how can anyone explain? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Find third proportion between A²-b² and (a b)² is Ans is (a b)³/a-b.how can anyone explain? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find third proportion between A²-b² and (a b)² is Ans is (a b)³/a-b.how can anyone explain?.
Find third proportion between A²-b² and (a b)² is Ans is (a b)³/a-b.how can anyone explain? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Find third proportion between A²-b² and (a b)² is Ans is (a b)³/a-b.how can anyone explain? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find third proportion between A²-b² and (a b)² is Ans is (a b)³/a-b.how can anyone explain?.
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