2.a) y(x+3) + a(x+3) = (x+3)(y+a)
б) 2(a+3) - b(a+3) = (2-b)(a+3)
3. 3x(1-2x)(1+2x) = 3x - 12x^3
3x(1 - 4x^2) = 3 - 12x^3
3x - 12x^3 = 3 - 12x^3
4. a)x(x^2 - 1) + 4(x^2 - 1) = (x+4)(x^2-1)
б) a^2(a-2b)-3b(a-2b) = (a^2 - 3b)(a-2b)
5. x - задуманное число
x+1, x+2 - другие числа
x^2 + 14 = (x+1)(x+2)
x^2 + 14 = x^2 + 2x + x + 2
x^2 + 14 = x^2 + 3x + 2
14 = 3x + 2
3x = 12
x = 4
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Answers & Comments
2.a) y(x+3) + a(x+3) = (x+3)(y+a)
б) 2(a+3) - b(a+3) = (2-b)(a+3)
3. 3x(1-2x)(1+2x) = 3x - 12x^3
3x(1 - 4x^2) = 3 - 12x^3
3x - 12x^3 = 3 - 12x^3
4. a)x(x^2 - 1) + 4(x^2 - 1) = (x+4)(x^2-1)
б) a^2(a-2b)-3b(a-2b) = (a^2 - 3b)(a-2b)
5. x - задуманное число
x+1, x+2 - другие числа
x^2 + 14 = (x+1)(x+2)
x^2 + 14 = x^2 + 2x + x + 2
x^2 + 14 = x^2 + 3x + 2
14 = 3x + 2
3x = 12
x = 4