Act 4

Apuntes

**Act 4** --- **Algebraic Expressions and Factoring** 1. \( 0^8 + 18a^4 + 81 \) 2. \( a^8 - 2a^3b^3 \) 3. \( 4x^2 - 12xy + 9y^2 \) 4. \( 9b^2 - 30ab + 25a^2 \) 5. \( 1 + 14x^2 y + 49x^2 y \) 6. \( 1 + a^5 = 2a^5 \) 7. \( 49m^6 - 70m^3 n^3 + 25a^2 n^4 \) 8. \( 100x^0 - 60a^4 x^5 y + 9a^8 y^8 \) --- **Additional Expressions and Simplifications** 9. \( 121 + 198x^6 + 81x^{10} \) 10. \( \sqrt{\pi} \, 9x^6 \) 11. \( \frac{199x^6}{4} \quad / \quad 11 + 9x^6 \) 12. \( a^2 - 24 a m^2 x^6 + \frac{144 m^2}{x^2} \) 13. \( -6a - \frac{36 m^2}{x} \) 14. \( \frac{6a (+4 m x)^2}{3m^2 x} + 4 m x \) 15. \( \frac{6a + 36 m^2 x^2}{+ 4 m^2 x^2} \) --- **Factoring and Simplification of Polynomial Expressions** **Subtopic: Factoring Quadratics and Binomials** 16. \( x^2 + 10x + 21 + 7 (+3) = 10 \) - Factored form: \( (x + 7)(x + 3) \) 17. \( a^2 + 7a - 18 + 9 (-2) = 7 \) - Factored form: \( (a + 9)(a - 2) \) 18. \( m^2 - 12m + 11 - 1 (1) + n / n \) - Factored form: \( (m - 1)(m - 11) \) 19. \( x^2 - 7x - 30 - 6 (+3) = -30 \) - Factored form: \( (x - 6)(x + 3) \) 20. \( n^2 + 6n - 16 + 8 (-2) = 6 \) - Factored form: \( (n + 8)(n - 7) \) 21. \( 20 + a^2 - 2a...