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If a3 –b3 = (a–b) (a2 ab b2 ), then the simplified form of [X^l/x^m]l^ lm m^ (a) 0 (b) 1 (c) x (d) none of these?
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If a3 –b3 = (a–b) (a2 ab b2 ), then the simplified form of [X^l/x^...
Using the given identity
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
we can simplify the expression [X^l/x^m]l^ lm m^ as follows:
[X^l/x^m]l^ lm m^ = l^(l-m) m^(l-m) X^l-m
Let's break down the expression further and consider the different cases:
(a) When l < />
In this case, the expression [X^l/x^m]l^ lm m^ is undefined, as we cannot divide by a negative power of x.
(b) When l = m
In this case, the expression simplifies to:
l^(l-m) m^(l-m) X^l-m = l^0 m^0 X^0 = 1
So the answer is (b) 1.
(c) When l > m
In this case, the expression simplifies to:
l^(l-m) m^(l-m) X^l-m = l^(l-m) m^(l-m) X^(l-m)
We can further simplify this expression using the identity given at the beginning:
l^(l-m) m^(l-m) X^(l-m) = (l - m)^(l-m) m^(l-m) X^(l-m)
Therefore, the answer is (d) none of these, as the expression cannot be simplified without knowing the values of l and m.
In summary:
(a) When l < m,="" the="" expression="" is="" />
(b) When l = m, the answer is 1.
(c) When l > m, the answer is none of these, as the expression cannot be simplified without knowing the values of l and m.
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
we can simplify the expression [X^l/x^m]l^ lm m^ as follows:
[X^l/x^m]l^ lm m^ = l^(l-m) m^(l-m) X^l-m
Let's break down the expression further and consider the different cases:
(a) When l < />
In this case, the expression [X^l/x^m]l^ lm m^ is undefined, as we cannot divide by a negative power of x.
(b) When l = m
In this case, the expression simplifies to:
l^(l-m) m^(l-m) X^l-m = l^0 m^0 X^0 = 1
So the answer is (b) 1.
(c) When l > m
In this case, the expression simplifies to:
l^(l-m) m^(l-m) X^l-m = l^(l-m) m^(l-m) X^(l-m)
We can further simplify this expression using the identity given at the beginning:
l^(l-m) m^(l-m) X^(l-m) = (l - m)^(l-m) m^(l-m) X^(l-m)
Therefore, the answer is (d) none of these, as the expression cannot be simplified without knowing the values of l and m.
In summary:
(a) When l < m,="" the="" expression="" is="" />
(b) When l = m, the answer is 1.
(c) When l > m, the answer is none of these, as the expression cannot be simplified without knowing the values of l and m.
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If a3 –b3 = (a–b) (a2 ab b2 ), then the simplified form of [X^l/x^m]l^ lm m^ (a) 0 (b) 1 (c) x (d) none of these?
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If a3 –b3 = (a–b) (a2 ab b2 ), then the simplified form of [X^l/x^m]l^ lm m^ (a) 0 (b) 1 (c) x (d) none of these? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If a3 –b3 = (a–b) (a2 ab b2 ), then the simplified form of [X^l/x^m]l^ lm m^ (a) 0 (b) 1 (c) x (d) none of these? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a3 –b3 = (a–b) (a2 ab b2 ), then the simplified form of [X^l/x^m]l^ lm m^ (a) 0 (b) 1 (c) x (d) none of these?.
If a3 –b3 = (a–b) (a2 ab b2 ), then the simplified form of [X^l/x^m]l^ lm m^ (a) 0 (b) 1 (c) x (d) none of these? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If a3 –b3 = (a–b) (a2 ab b2 ), then the simplified form of [X^l/x^m]l^ lm m^ (a) 0 (b) 1 (c) x (d) none of these? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a3 –b3 = (a–b) (a2 ab b2 ), then the simplified form of [X^l/x^m]l^ lm m^ (a) 0 (b) 1 (c) x (d) none of these?.
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