2x^2 + 4xy + 2y^2= 2x2+2xy+y2x^2 + 2xy + y^2x2+2xy+y2 = 2x+yx + yx+yx+yx + yx+y = 2x+yx+yx+y^2
16 - 1/81= 16 - 1/343^434 = 16 - 1/81= 16 - 1/3^4= 4−1/324 - 1/3^24−1/324+1/324 + 1/3^24+1/32 = 4−1/94 - 1/94−1/94+1/94 + 1/94+1/9 = 36/9−1/936/9 - 1/936/9−1/936/9+1/936/9 + 1/936/9+1/9 = 35/935/935/937/937/937/9 = 1295/81
x^4 + x^3 - 8y^3= x^3x+1x + 1x+1 - 8y^3= x^3x+1x + 1x+1 - 2^3y^3= x3−2y3x^3 - 2y^3x3−2y3x+1x + 1x+1 = x−2yx - 2yx−2yx2+2xy+2y2x^2 + 2xy + 2y^2x2+2xy+2y2x+1x + 1x+1
2x + x^2 + 2y - y^2= x^2 + 2x - y^2 + 2y= x2+2xx^2 + 2xx2+2x + −y2+2y-y^2 + 2y−y2+2y = xx+2x + 2x+2 - yy−2y - 2y−2 = xx+2x + 2x+2 - y2−y2 - y2−y
2x^2 + 4xy + 2y^2
= 2x2+2xy+y2x^2 + 2xy + y^2x2+2xy+y2 = 2x+yx + yx+yx+yx + yx+y = 2x+yx+yx+y^2
16 - 1/81
= 16 - 1/343^434 = 16 - 1/81
= 16 - 1/3^4
= 4−1/324 - 1/3^24−1/324+1/324 + 1/3^24+1/32 = 4−1/94 - 1/94−1/94+1/94 + 1/94+1/9 = 36/9−1/936/9 - 1/936/9−1/936/9+1/936/9 + 1/936/9+1/9 = 35/935/935/937/937/937/9 = 1295/81
x^4 + x^3 - 8y^3
= x^3x+1x + 1x+1 - 8y^3
= x^3x+1x + 1x+1 - 2^3y^3
= x3−2y3x^3 - 2y^3x3−2y3x+1x + 1x+1 = x−2yx - 2yx−2yx2+2xy+2y2x^2 + 2xy + 2y^2x2+2xy+2y2x+1x + 1x+1
2x + x^2 + 2y - y^2
= x^2 + 2x - y^2 + 2y
= x2+2xx^2 + 2xx2+2x + −y2+2y-y^2 + 2y−y2+2y = xx+2x + 2x+2 - yy−2y - 2y−2 = xx+2x + 2x+2 - y2−y2 - y2−y