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Mathematics
Algebraic Expressions
Formulae of Cubes
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Multiple Choice
Using the formula $(a + b)^3$, what term represents $3a^2b$?
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The term arises from the expansion of $(a+b)(a+b)^2$
The term arises due to $ab(a+b)$
The term arises from $a(a^2 + 2ab + b^2)$
The term is from $b(a^2 + 2ab + b^2)$
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Identify the expression that results from $(a + b)(a^2 + 2ab + b^2)$.
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$a^3 + 3a^2b + 3ab^2 + b^3$
$a^3 + b^3 + ab$
$a^3 + a^2b + ab^2 + b^3$
$a^3 + b^3 + a^2b + ab^2$
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What does the term $3ab(a+b)$ represent in the expansion of $(a+b)^3$?
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It's a simplification of $3(a+b)(ab)$
It's the sum of all the coefficients in the expansion
It directly represents $3a^2b + 3ab^2$
It represents an error in arithmetic
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What is the expanded form of $(a + b)^3$ using the formula for cubes?
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$a^3 + 3ab^2 + b^3$
$a^3 + 3a^2b + 3ab^2 + b^3$
$a^3 + 3a^2 + 3ab + b^3$
$a^3 + b^3 + ab$
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Determine the equivalent expression for $a^3 + b^3 + 3ab(a + b)$.
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$(a+b)^3$
$(a-b)^3$
$a^3 - b^3$
$(a+b)(a-b)$
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