Объяснение:
(2-x)^6= (2-x)^4(2-x)² =
=(2^4-4*2³x+6*2²x²-4*2x³+x^4)(4-4x+x²)=
=(16-4*8x+6*4x²-8x³+x^4)(x²-4x+4)=
=(16-32x+24x²-8x³+x^4)(x²-4x+4)=
=(x^4-8x³+24x²-32x+16)(x²-4x+4)=
=x^6-8x^5+24x²-32x³+16x²-4x^5+32x^4-96x³+128x²-64x+
+4x^4-32x³+96x²-128x+64=
=x^6-12x^5+60x^4-160x³+240x²-192x+64
Объяснение:
(2-x)^6= (2-x)^4(2-x)² =
=(2^4-4*2³x+6*2²x²-4*2x³+x^4)(4-4x+x²)=
=(16-4*8x+6*4x²-8x³+x^4)(x²-4x+4)=
=(16-32x+24x²-8x³+x^4)(x²-4x+4)=
=(x^4-8x³+24x²-32x+16)(x²-4x+4)=
=x^6-8x^5+24x²-32x³+16x²-4x^5+32x^4-96x³+128x²-64x+
+4x^4-32x³+96x²-128x+64=
=x^6-12x^5+60x^4-160x³+240x²-192x+64