Factoring Special Products Practice — Grade 8 math

Lesson 7: Factoring Special Products — Practice Questions

1. Use a special product pattern to evaluate $48^2$. The value is ___.
2. Use the difference of squares pattern to evaluate the product $62 \times 58$. The product is ___.
3. Which special product pattern is most efficient for evaluating the expression $205 \times 195$?
- A. $(a + b)^2 = a^2 + 2ab + b^2$
- B. $(a - b)^2 = a^2 - 2ab + b^2$
- C. $(a + b)(a - b) = a^2 - b^2$
- D. a(b + c) = ab + ac
4. Evaluate $104^2$ by applying a special product pattern. The result is ___.
5. Use the pattern for the square of a difference to evaluate $89^2$.
- A. 7921
- B. 8099
- C. 7919
- D. 8281
6. Which of the following is the correct factorization of $49s^2 + 154s + 121$?
- A. $(7s+11)^2$
- B. $(7s-11)^2$
- C. $(49s+1)(s+121)$
- D. $(7s+1)(7s+121)$