Question

Разложите на множители а)81a²-49b⁴ б)25a²-9b⁶ Пожалуйста,очень срочно!!!

Answer 1

a² - b² = (a + b) · (a - b) - разность квадратов

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а) 81а² - 49b⁴ = 9² · a² - 7² · (b²)² = (9a)² - (7b²)² = (9a + 7b²) · (9a - 7b²)

Ответ: (9а + 7b²) · (9a - 7b²).

б) 25а² - 9b⁶ = 5² · a² - 3² · (b³)² = (5a)² - (3b³)² = (5a - 3b²) · (5a + 3b³)

Ответ: (5a - 3b³) · (5a + 3b³).

Answer 2

Ответ:

1) 81a²-49b⁴ = (81a²-49b⁴)=(9a-7b²)(9a+7b²)

2) 25a²-9b⁶ = (25a²-9b⁶)=(5a-3b³)(5a+3b³)

Answer 3

Fact-checking the claim

To answer your question, I will first fact-check the claim using search results.

1. Fact-checking the claim for the expression "81a²-49b⁴": - The expression "81a²-49b⁴" can be factored using the difference of squares formula. - The difference of squares formula states that for any two terms, "a² - b²," the expression can be factored as "(a + b)(a - b)". - In this case, "81a²-49b⁴" can be factored as "(9a + 7b²)(9a - 7b²)".

2. Fact-checking the claim for the expression "25a²-9b⁶": - The expression "25a²-9b⁶" can also be factored using the difference of squares formula. - In this case, "25a²-9b⁶" can be factored as "(5a + 3b³)(5a - 3b³)".

Fact-checked response

Based on the fact-checking, the expressions can be factored as follows: - a) 81a²-49b⁴ can be factored as (9a + 7b²)(9a - 7b²). - б) 25a²-9b⁶ can be factored as (5a + 3b³)(5a - 3b³).

Please let me know if there's anything else I can help you with!