1) 12a - 6a ^ 2 * x ^ 2 - 9a ^ 3
2) 12b ^ 2 * y - 18b ^ 3 - 30b ^ 4 * y

Ответ:

Sure, I can help you factor these expressions.

1) 12a - 6a ^ 2 * x ^ 2 - 9a ^ 3

This expression can be factored out a common factor of 3a:

3a(4 - 2a * x ^ 2 - 3a ^ 2)

This expression can be factored further by grouping:

3a[(2 + a)(2 - a * x ^ 2)]

Therefore, the completely factored expression is:

3a(2 + a)(2 - a * x ^ 2)

2) 12b ^ 2 * y - 18b ^ 3 - 30b ^ 4 * y

This expression can be factored out a common factor of 6b ^ 2 * y:

6b ^ 2 * y(2 - 3b - 5b ^ 2)

This expression can be factored further by grouping:

6b ^ 2 * y[(2 - 5b ^ 2) - 3b]

6b ^ 2 * y(-3b - 1)(2 - 5b)

Therefore, the completely factored expression is:

6b ^ 2 * y(-3b - 1)(2 - 5b)

Объяснение: