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নবম-দশম শ্রেণী
Mathematics
Algebraic Expressions
Algebraic Formulae - Part I
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Multiple Choice
Which algebraic formula represents $(a - b)^2 + 4ab$?
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$(a + b)^2$
$(a - b)^2$
$(a + b)^2 + 2ab$
None of the above
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What is the value of $a^2 + b^2$ in terms of $(a + b)^2$ and $(a - b)^2$?
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$\frac{2(a+b)^2}{2}$
$\frac{(a+b)^2 + (a-b)^2}{2}$
$(a+b)^2 - (a-b)^2$
$(a+b)^2 + (a-b)^2$
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Which of the following is the correct expression for $(a - b)^2$?
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$a^2 + 2ab + b^2$
$a^2 - 2ab + b^2$
$a^2 + b^2$
$a^2 - b^2 - 2ab$
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If $ab = \frac{(a+b)^2 - (a-b)^2}{4}$, what is $ab$ when $a = 5$ and $b = 3$?
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8
15
10
12
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What is the expanded form of $(a + b)^2$?
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$a^2 + 2ab + b$
$a^2 + 2ab + b^2$
$a^2 + b^2$
$2a^2 + b^2$
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