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নবম-দশম শ্রেণী
Mathematics
Algebraic Expressions
Reduction of fractions
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Multiple Choice
What does $(2x-3)^3$ expand to?
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$8x^3 - 27$
$8x^3 - 36x^2 + 54x - 27$
$8x^3 + 36x^2 + 54x + 27$
$8x^3 - 54x^2 - 36x - 27$
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Identify the correct formulation of $(m-n)^3$.
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$m^3 - 3m^2n + 3mn^2 - n^3$
$m^3 - n^3 - 3m^2n - 3mn^2$
$m^3 - 3mn(m-n) + n^3$
$m^3 - n^3 - 3(mn)^2$
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What is the expanded form of the expression $(a+b)^3$?
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$a^3 + b^3 + 3a^2b + 3ab^2$
$a^3 + 3a^2b + 3ab^2 + b^3$
$a^3 + b^3 + 3ab(a+b)$
$a^3 + 3ab(a+b) + b^3$
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Expand the following: $(a-b)^3$. Which of these is the correct form?
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$a^3 + b^3 + 3a^2b + 3ab^2$
$a^3 - 3a^2b + 3ab^2 - b^3$
$a^3 - 3ab(a-b) + b^3$
$a^3 + 3a^2b - 3ab^2 - b^3$
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Which is the correct expansion for $(x+y)^3$?
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$x^3 + y^3 + 3x^2y + 3xy^2$
$x^3 + 3x^2y + 3xy^2 + y^3$
$x^3 + y^3 + 3xy(x+y)$
$x^3 + 3xy(x+y) + y^3$
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