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Structure and Operations

Quick questions on Rewriting expressions using structure - TNReady Algebra I

5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are perfect-square trinomials?
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a2+2ab+b2=(a+b)2a^2 + 2ab + b^2 = (a + b)^2 and a2−2ab+b2=(a−b)2a^2 - 2ab + b^2 = (a - b)^2.
What is common factor?
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ab+ac=a(b+c)ab + ac = a(b + c).
What is q1?
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Factor 4y2−254y^2 - 25 completely. [1 point]
What is q2?
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Write 5x3+10x25x^3 + 10x^2 in factored form. [2 points]
What is sign slip in the pattern?
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a2−b2=(a−b)(a+b)a^2 - b^2 = (a - b)(a + b), with one minus and one plus, not two minuses.

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