Ответ:

1.

1). 4p²+5q⁵/10pq

2). x²y-x²+y²-y-2xy²-x²y²/x³y²+xy³

3). m/n

2.

1). c²+d²/c²d-d³

2). b+c/bc

3). - 2p/p²+4p+3

3.

1). 2x³/11

2). 9

3). 1/2x⁸y

4.

1). x1=0; x2=8

2). x=25

3). x=30

5.

1). 99/5 = 19* 4/5 = 19,8

2). -1* 1/5 = -1,2

Объяснение:

1.

1). 2p/5q + q⁴/2p = 2p*2p/2p*5q + 5q*q⁴/5q*2p = 4p²/10pq + 5q⁵/10pq = 4p²+5q⁵/10pq

2). y-1/xy² - 2+x/x²+y = (x²+y)*(y-1)-xy²*(2+x)/xy²*(x²+y) = x²y-x²+y²-y-2xy²-x²y²/x³y²+xy³

3). 3mn+2n²/mn - m+2n/m + m-2n/n = n*(3m+2n)/mn - m+2n/m + m-2n/n = 3m+2n/m - m+2n/m + m-2n/n = n*(3m+2n)-n*(m+2n)+m(m-2n)/mn = 3mn+2n²-mn-2n²+m²-2mn/mn = 3mn-mn+m²-2mn/mn = 0+m²/mn = m²/mn = m/n

2.

1). c-d/2d(c+d) + c+d/2d(c-d) = (c-d)² + (c+d)²/2d*(c+d)*+(c-d) = c²-2cd+d² + c²+2cd+d²/2d*(c²-d²) = c²+d²+c²+d²/2d*(c²-d²) = 2c²+2d²/2d*(c²-d²) = 2*(c²+d²)/2d*(c²+d²) = c²+d²/d*(c²-d²) = c²+d²/c²d-d³

2). c/b*(c-b) + b/c*(b-c) = c/b*(-(b-c)) + b/c*(b-c) = - c/b*(b-c) + b/c*(b-c) = -c²+b²/bc*(b-c) = b²-c²/bc*(b-c) = (b-c)(b+c)/bc*(b-c) = b+c/bc

3). p+2/p+1 - p+6/p+3 = (p+3)*(p+2)-(p+1)*(p+6)/(p+1)*(p+3) = p²+2p+3p+6-(p²+6p+p+6)/(p+1)*(p+3) = p²+2p+3p+6-(p²+7p+6)/(p+1)*(p+3) = p²+2p+3p+6-p²-7p-6/(p+1)*(p+3) = 2p+3p-7p/(p+1)*(p+3) = -2p/(p+1)*(p+3) = - 2p/p²+3p+p+3 = - 2p/p²+4p+3

3.

1). 12x⁵/55 : 6x²/5 = 12x⁵/55 * 5/6x² = 2x⁵/55 * 5/x² = 2x³/55 * 5 = 2x³/11

2). 3m²n/c : m²n/3c = 3m²n/c * 3c/m²n = 3n/c * 3c/n = 3/c * 3c = 3*3 = 9

3). x³/6y¹⁰ * 3y⁹/x¹¹ = 1/2y * 1/x⁸ = 1/2x⁸y

4.

1). x²-8x = 0

x*(x-8) = 0

x = 0 x-8 = 0

x = 8

Ответ: x1=0; x2=8

2). x+5/x+15 = 3/4 ,x ≠ -15

4(x+5) = 3(x+15)

4x+20 = 3x+45

4x-3x = 45-20

x = 25

Ответ: x=25

3). 11 - x/5 = x/6

330-6x = 5x

-6x-5x = -330

-11x = -330

11x = 330

x = 30

Ответ: x=30

5.

1). 24,2 : (2* 5/18 - 1* 1/18) = 121/5 : (41/18 - 19/18) = 121/5 : 11/9 = 121/5 * 9/11 = 11/5 * 9 = 99/5 = 19* 4/5 = 19,8

2). -0,3 *8/21 : 4/42 = - 3/10 * 8/21 * 42/4 = - 3/10 * 2 * 2 = - 3/5 * 2 = - 6/5 = -1* 1/5 = -1,2