Algebraic Expressions, Factor form and expanded form:
S.N.
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Algebraic Expression
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Factor form
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Expanded form
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1
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(a+b)2
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(a+b)(a+b)
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a2+2ab+b2
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2
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(a-b)2
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(a-b)(a-b)
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a2-2ab+b2
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3
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(a+b)3
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(a+b)(a+b)(a+b)
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a3+3a2b+3ab2+b3
a3+b3+3ab(a+b)
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4
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(a-b)3
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(a-b)(a-b)(a-b)
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a3-3a2b+3ab2-b3
a3-b3-3ab(a-b)
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5
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a2-b2
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(a-b)(a+b)
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6
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a2+b2
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-
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(a+b)2-2ab
Or, (a-b)2+2ab
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7
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a3-b3
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(a-b)(a2+ab+b2)
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(a-b)3+3ab(a-b)
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8
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a3+b3
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(a+b)(a2-ab+b2)
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(a+b)3-3ab(a+b)
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9
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a4+a2b2+b4
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(a2+ab+b2)(a2+ab+b2)
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