Question

1) a2-14-49 2) 25y2 + 10y +1 3) 100a2-180ab+81b2 4) 16m2+49n2-56mn 5) x10-6x5b+9b2 6) 36m6+n12+12m3n6

Answer 1

Ответ:

(а-7)²

Объяснение:

1) а² - 14 * а + 49 = а² - 2 * (7 * а) + 7² = (а - 7)².

2) 25 * у² + 10 * у + 1 = (5 * у)² + 2 * ( 5 * у) * (1) + 1² = (5 * у + 1)².

3) 100 * а² - 180 * а * b + 81 * b² = (10 * а)² - 2 * (10 * а) * (9 * b) + (9 * b)² = ( 10 * а - b)².

4) 16 * m² + 49 * n² - 56 * m * n= 4² * m² + 7² * n² - 2 * (4 * m) * (7 * n) = ( 4 * m - 7 * n)².

Answer 2

It seems like you've provided a list of algebraic expressions. If you have specific questions or tasks related to these expressions, please let me know, and I'll be happy to assist you. For now, I'll provide some general information on simplifying and factoring these expressions:

1. a^2 - 14 - 49 This expression can be simplified as: a^2 - 63

2. 25y^2 + 10y + 1 This expression can be factored as a perfect square trinomial: (5y + 1)^2

3. 100a^2 - 180ab + 81b^2 This expression can be factored as a perfect square trinomial: (10a - 9b)^2

4. 16m^2 + 49n^2 - 56mn This expression doesn't appear to factor further, but you can simplify it as: 16m^2 + 49n^2 - 56mn

5. x^10 - 6x^5b + 9b^2 This expression doesn't appear to factor further, but you can simplify it as: x^10 - 6x^5b + 9b^2

6. 36m^6 + n^12 + 12m^3n^6 This expression doesn't appear to factor further, but you can simplify it as: 36m^6 + n^12 + 12m^3n^6

If you have specific questions about any of these expressions or need further assistance with them, please provide more context or details.