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নবম-দশম শ্রেণী
Mathematics
Algebraic Expressions
Forming and Applying Algebraic Formulae in Real-Life Problems Related to Time & Work
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Multiple Choice
Expand $(2y + 5)^3$ and choose the correct expression.
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$8y^3 + 30y^2 + 75y + 125$
$8y^3 + 60y^2 + 75y + 125$
$8y^3 + 60y^2 + 150y + 125$
$8y^3 + 15y^2 + 75y + 125$
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What is the expanded form of $(2a - 4)^3$?
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$8a^3 - 48a^2 + 96a - 64$
$8a^3 - 24a^2 + 48a - 64$
$8a^3 + 24a^2 - 96a + 64$
$8a^3 - 24a^2 - 96a + 64$
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Which of the following is the expansion of $(x - 3)^2$?
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$x^2 + 6x + 9$
$x^2 - 6x + 9$
$x^2 - 3x + 9$
$x^2 - 3x - 9$
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Which expanded form represents $(3m + 2n)^2$?
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$9m^2 + 12mn + 4n^2$
$6m^2 + 2mn + 4n^2$
$9m^2 - 12mn + 4n^2$
$9m^2 + 4mn - 4n^2$
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If $(a + b)^2$ is expanded, which of the following is the correct expression?
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$a^2 + b^2$
$a^2 + 2ab + b^2$
$a^2 - 2ab + b^2$
$2a^2 + b^2$
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