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Back to Exercise: Rewrite expressions using structure

Exercises: Rewrite Expressions Using Structure

For each problem, first identify the pattern or structure, then apply the appropriate strategy. Always verify your factored form by expanding or checking at a test value.

Grade 9·21 problems·~45 min·Common Core Math - HS Algebra·standard·hsa-sse-a-2
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A

Recall / Warm-Up

1.

Expand (x+5)(x−5)(x + 5)(x - 5).

2.

Which of the following is a perfect square?

3.

Expand (x−3)2(x - 3)^2.

B

Fluency Practice

1.

Factor x2−49x^2 - 49 completely.

2.

Factor x2−8x+16x^2 - 8x + 16 completely.

3.

Factor x3−27x^3 - 27 completely.

4.

Which expression is equivalent to x4−16x^4 - 16 after one application of the difference-of-squares pattern?

5.

Factor 4x2−12x+94x^2 - 12x + 9 completely.

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