Ответ:
1). b/b+7
2).
а) 1/4 * (1+x)
б) a+5/a²
3). 3
4).
а) 14a+2a²/a²-25
б) - 3b/a²-b²
5).
Объяснение:
1).bx/bx+7x = b/b+7
а) 3/4 + x-2/4 = 1/4 * (3+x-2) = 1/4 * (1+x)
б) 3a+5/a² - 2/a = 3a+5-2a/a² = a+5/a²
3). x-3/3x = 0
x-3=0
x=3
а) 2a/a-5 - 4a/25-a² = 2a/a-5 - 4a/(5-a)(5+a) = 2a/a-5 - 4a/-(a-5)(5+a) = 2a/a-5 + 4a/(a-5)(5+a) = 2a*(5+a)+4a/(a-5)(5+a) = 10a+2a²+4a/a²-25 = 14a+2a²/a²-25
б)3a/a²-b² - 3/a-b = 3a/(a-b)(a+b) - 3/a-b = 3a-3(a+b)/(a-b)(a+b) = 3a-3a-3b/a²-b² = -3b/a²-b² = - 3b/a²-b²
5). 2b-1/4b+2 + 4b/4b²-1 + 2b+1/3-6b = 2b-1/2(2b+1) + 4b/(2b-1)(2b+1) + 2b+1/-6b+3 = 2b-1/2(2b+1) + 4b/(2b-1)(2b+1) + 2b+1/-3(2b-1) = 2b-1/2(2b+1) + 4b/(2b-1)(2b+1) - 2b+1/3(2b-1) = 3(2b-1)²+24b-2(2b+1)²/6(2b+1)(2b-1) = 3(4b²-4b+1)+24b-2(4b²+4b+1)/6(4b²-1) = 12b²-12b+3+24b-8b²-8b-2/6
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Answers & Comments
Ответ:
1). b/b+7
2).
а) 1/4 * (1+x)
б) a+5/a²
3). 3
4).
а) 14a+2a²/a²-25
б) - 3b/a²-b²
5).
Объяснение:
1).bx/bx+7x = b/b+7
2).
а) 3/4 + x-2/4 = 1/4 * (3+x-2) = 1/4 * (1+x)
б) 3a+5/a² - 2/a = 3a+5-2a/a² = a+5/a²
3). x-3/3x = 0
x-3=0
x=3
4).
а) 2a/a-5 - 4a/25-a² = 2a/a-5 - 4a/(5-a)(5+a) = 2a/a-5 - 4a/-(a-5)(5+a) = 2a/a-5 + 4a/(a-5)(5+a) = 2a*(5+a)+4a/(a-5)(5+a) = 10a+2a²+4a/a²-25 = 14a+2a²/a²-25
б)3a/a²-b² - 3/a-b = 3a/(a-b)(a+b) - 3/a-b = 3a-3(a+b)/(a-b)(a+b) = 3a-3a-3b/a²-b² = -3b/a²-b² = - 3b/a²-b²
5). 2b-1/4b+2 + 4b/4b²-1 + 2b+1/3-6b = 2b-1/2(2b+1) + 4b/(2b-1)(2b+1) + 2b+1/-6b+3 = 2b-1/2(2b+1) + 4b/(2b-1)(2b+1) + 2b+1/-3(2b-1) = 2b-1/2(2b+1) + 4b/(2b-1)(2b+1) - 2b+1/3(2b-1) = 3(2b-1)²+24b-2(2b+1)²/6(2b+1)(2b-1) = 3(4b²-4b+1)+24b-2(4b²+4b+1)/6(4b²-1) = 12b²-12b+3+24b-8b²-8b-2/6