Question

представить трёх член в виде квадрата двучлена 80xy+16x^2+100y^2 m^8-6m^4n^5+9n^10 36x^12+y^6+12x^6y^3 1/225a^6-2a^3b^2+225b^4 25/49a^4+10a^2b^3+49b^6

Answer 1

1.
80xy+16x²+100y²  = 16x²+ 80xy+ 100y² = (4x)²+ 2×4x×10y+ (10y)² = (4x+10y)²
2.
m⁸-6m⁴n⁵+9n¹⁰= (m⁴)²+ 2×m⁴×3n⁵+ (3n⁵)² = (m⁴+3n⁵)² 
3.
36x¹²+y⁶+12x⁶y³=36x²+ 12x⁶y³+ y⁶ = (6x⁶)²+ 2×6x⁶×y³+ (y³)² = (6x⁶+y³)² 
4.
1/225a⁶-2a³b²+225b⁴ = (a³/15)²+ 2×a³/15×15b²+ (15b²)² = (a³/15+15b²)²
5.
25/49a⁴+10a²b³+49b⁶=(5a²/7)²+ 2×5a²/7×7b³+ (7b³)² = (5a²/7+7b³)²