Question

СРОЧНО, НУЖНА ВАША ПОМОЩЬ!! Разложите на множители1)c^2-1212)x^2-4x+43)4y^2-644)9a^2-54ab+81b^2ДАЮ 20 баллов!!! ​

Answer 1

1) (c+11)(c-11)
2) (x-2)^2
3) (2y-8)(2y+8)
4) (3a-9b)^2

Answer 2

1) To factorize the expression c^2 - 121, we can use the difference of squares formula. The difference of squares formula states that a^2 - b^2 can be factored as (a + b)(a - b). In this case, a = c and b = 11. Therefore, the expression c^2 - 121 can be factored as (c + 11)(c - 11).

2) To factorize the expression x^2 - 4x + 4, we can use the perfect square trinomial formula. The perfect square trinomial formula states that a^2 - 2ab + b^2 can be factored as (a - b)^2. In this case, a = x and b = 2. Therefore, the expression x^2 - 4x + 4 can be factored as (x - 2)^2.

3) To factorize the expression 4y^2 - 64, we can use the difference of squares formula. In this case, a = 2y and b = 8. Therefore, the expression 4y^2 - 64 can be factored as (2y + 8)(2y - 8).

4) To factorize the expression 9a^2 - 54ab + 81b^2, we can use the perfect square trinomial formula. In this case, a = 3a and b = 9b. Therefore, the expression 9a^2 - 54ab + 81b^2 can be factored as (3a - 9b)^2.

Please let me know if you need any further assistance!