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Lesson 3: Special Products of Polynomials — Practice Questions

  1. 1. Calculate the product of $47 \times 53$ by representing the numbers relative to 50. The result is ___.

  2. 2. Multiply the pair of conjugates using the Product of Conjugates Pattern: $(11k+4)(11k-4) = \_\_\_.$

  3. 3. Multiply the pair of conjugates using the Product of Conjugates Pattern: $(m+\frac{2}{3}n)(m-\frac{2}{3}n) = \_\_\_.$

  4. 4. Multiply the pair of conjugates using the Product of Conjugates Pattern: $(8j+4)(8j-4) = \_\_\_.$

  5. 5. Multiply the pair of conjugates using the Product of Conjugates Pattern: $(9c-2d)(9c+2d) = \_\_\_.$

  6. 6. Multiply the pair of conjugates using the Product of Conjugates Pattern: $(9c+5)(9c-5) = \_\_\_.$

  7. 7. Multiply the pair of conjugates using the Product of Conjugates Pattern: $(5k+6)(5k-6) = \_\_\_.$

  8. 8. Multiply the pair of conjugates using the Product of Conjugates Pattern: $(uv-12)(uv+12) = \_\_\_.$

  9. 9. Multiply the pair of conjugates using the Product of Conjugates Pattern: $(x+\frac{1}{4})(x-\frac{1}{4}) = \_\_\_.$

  10. 10. Multiply the pair of conjugates using the Product of Conjugates Pattern: $(ab-4)(ab+4) = \_\_\_.$