Объяснение:
1. 8⁵+2¹¹=(2³)⁵-2¹¹=2¹⁵-2¹¹=2¹¹*(2⁴+1)=2¹¹*(16+1)=17*2¹¹.
2. x²+8x-y²-6y+7=x²+8x-y²-6y+16-9=(x²+2*4*x+4²)-(y²+2*3*y+3²)=
=(x+4)²-(y+3)²=(x+4-y-3)(x+4+y+3)=(x-y+1)(x+y+7).
Объяснение:
1. 8⁵+2¹¹=(2³)⁵-2¹¹=2¹⁵-2¹¹=2¹¹*(2⁴+1)=2¹¹*(16+1)=17*2¹¹.
2. x²+8x-y²-6y+7=x²+8x-y²-6y+16-9=(x²+2*4*x+4²)-(y²+2*3*y+3²)=
=(x+4)²-(y+3)²=(x+4-y-3)(x+4+y+3)=(x-y+1)(x+y+7).