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Mathematics
Algebraic Expressions
Factorization: Common Factor
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Multiple Choice
What expression results from factorizing $3a^2b + 6ab^2 + 12a^2b^2$?
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$ab(a + b + ab)$
$3ab(a + 2b + 4ab)$
$a(b + c + d)$
$3a(b + 2a + b^2)$
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In the expression $2ab(x-y) + 2bc(x-y) + 3ca(x-y)$, what method is used to factorize it?
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Expansion
Grouping
Distributive Property
Division
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How is $2ab(x-y) + 2bc(x-y) + 3ca(x-y)$ factorized?
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$(2a + 3c)(b + x - y)$
$(x-y)(2ab + 2bc + 3ca)$
$(2ab + 3ca)(x - y)$
$(x-y)(ab + bc + ca)$
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What is the first step in factorizing the expression $3a^2b + 6ab^2 + 12a^2b^2$?
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Add all the terms together
Find the common factor
Divide each term by 3
Multiply the coefficients
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Which of the following is the common factor in $3a^2b + 6ab^2 + 12a^2b^2$?
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$b$
$3ab$
$a$
$3a$
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