Пошаговое объяснение:
1
1) 2mn=2m³n⁴ /m²n³ ; 1 /m²n = n² /m²n³ ; 1 / mn³ = m /m²n³
2) 3 /2x² = 18xy⁴/12x³y⁴; 3 /4 x³y = 9y³/12x³y⁴ ; 5 / 6xy⁴= 10x²/12x³y⁴
2
1) 1 / 4b²- 9 u b /2b+3
1 / 4b²- 9 =1 /(2b-3)(2b+3)
b /2b+3 = b(2b-3) / (2b-3)(2b+3) =2b²-3b / (2b-3)(2b+3)
2) 1 / x²-25 u 4 / 5-x
1 / x²-25 = 1 / (x-5)(x+5)
4 / 5-x = - 4(x+5) / (x-5)(x+5) = - 4x+20 /(x-5)(x+5)
3
1) 1 / y²-9 = y+3 / (y-3)(y+3)²
1/(y+3)² = y-3 / (y-3)(y+3)²
2) 1 /25x²-10x+1 = 1 /(5x-1)² (5x+1)² / (5x-1)²(5x+1)²
1 / 1+10x+25x²= 1/ (5x+1)² (5x-1)² /(5x-1)²(5x+1)²
1 /1-25x² = - 1 / (5x-1)(5x+1) -(5x-1)(5x+1) /(5x-1)²(5x+1)²=
= - 25x-1 /(5x-1)(5x+1)
Пошаговое объяснение:
1
1) 2mn=2m³n⁴ /m²n³ ; 1 /m²n = n² /m²n³ ; 1 / mn³ = m /m²n³
2) 3 /2x² = 18xy⁴/12x³y⁴; 3 /4 x³y = 9y³/12x³y⁴ ; 5 / 6xy⁴= 10x²/12x³y⁴
2
1) 1 / 4b²- 9 u b /2b+3
1 / 4b²- 9 =1 /(2b-3)(2b+3)
b /2b+3 = b(2b-3) / (2b-3)(2b+3) =2b²-3b / (2b-3)(2b+3)
2) 1 / x²-25 u 4 / 5-x
1 / x²-25 = 1 / (x-5)(x+5)
4 / 5-x = - 4(x+5) / (x-5)(x+5) = - 4x+20 /(x-5)(x+5)
3
1) 1 / y²-9 = y+3 / (y-3)(y+3)²
1/(y+3)² = y-3 / (y-3)(y+3)²
2) 1 /25x²-10x+1 = 1 /(5x-1)² (5x+1)² / (5x-1)²(5x+1)²
1 / 1+10x+25x²= 1/ (5x+1)² (5x-1)² /(5x-1)²(5x+1)²
1 /1-25x² = - 1 / (5x-1)(5x+1) -(5x-1)(5x+1) /(5x-1)²(5x+1)²=
= - 25x-1 /(5x-1)(5x+1)