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Mathematics
Algebraic Expressions
Factorization: Difference of Two Squares
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Multiple Choice
What is the factorization of $t^2 - 49$?
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$(t + 7)(t - 7)$
$(t + 7)(t + 7)$
$(t - 49)(t + 49)$
$(t - 7)(t - 7)$
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What is the factorization of $x^2 - y^2$?
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$(x + y)(x + y)$
$(x - y)(x - y)$
$(x + y)(x - y)$
$(x - y)(y - x)$
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Resolve into factors: $16x^2 - 81y^2$.
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$(4x + 9y)(4x - 9y)$
$(16x - 81y)(16x + 81y)$
$(4x + 9y)(4x + 9y)$
$(4x - 9y)(4x - 9y)$
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Factor the expression $9y^2 - 1$.
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$(3y - 1)(3y - 1)$
$(3y + 1)(3y - 1)$
$(9y + 1)(9y - 1)$
$(3y^2 + 1)(3y^2 - 1)$
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Which represents the factorization of $4a^2 - 25b^2$?
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$(2a + 5b)(2a + 5b)$
$(4a - 5b)(4a + 5b)$
$(2a + 5b)(2a - 5b)$
$(a + b)(a - b)$
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