б) z2+3z+2z^2 + 3z + 2z2+3z+2z−5z - 5z−5 = z^3 - 5z^2 + 3z^2 + 15z + 2z - 10 = z^3 - 2z^2 + 17z - 10
г) x2−xy+y2x^2 - xy + y^2x2−xy+y2x−yx - yx−y = x^3 - x^2y - yx^2 + xy^2 + y^3 - y^2 = x^3 - 2x^2y + xy^2 + y^3
Упрощение выражений:
б) 3m2+3n23m^2 + 3n^23m2+3n2 - 2m+n2m + n2m+nm+2nm + 2nm+2n = 3m^2 + 3n^2 - 2m^2 - 4mn - mn - 2n^2 = m^2 - 5mn - n^2
г) c−5c - 5c−5c−10c - 10c−10 + 3cc+5c + 5c+5 = c^2 - 10c - 5c + 50 + 3c^2 + 15c = 4c^2 + 0c + 50
б) x−yx - yx−y2x−3y2x - 3y2x−3y - 3x−y3x - y3x−y2x+y2x + y2x+y = 2x^2 - 3xy - 2xy + 3y^2 - 6x^2 + 3xy - 3y^2 = -4x^2 + 4xy
г) 3c−d3c - d3c−dd+3cd + 3cd+3c + 4c−d4c - d4c−dc−4dc - 4dc−4d = 3cd + 9c^2 - d^2 - 3cd + 12c^2 - 4cd - 4c^2 + 16cd - 4d^2 = 12c^2 + 4cd - 5d^2
б) z2+3z+2z^2 + 3z + 2z2+3z+2z−5z - 5z−5 = z^3 - 5z^2 + 3z^2 + 15z + 2z - 10 = z^3 - 2z^2 + 17z - 10
г) x2−xy+y2x^2 - xy + y^2x2−xy+y2x−yx - yx−y = x^3 - x^2y - yx^2 + xy^2 + y^3 - y^2 = x^3 - 2x^2y + xy^2 + y^3
Упрощение выражений:
б) 3m2+3n23m^2 + 3n^23m2+3n2 - 2m+n2m + n2m+nm+2nm + 2nm+2n = 3m^2 + 3n^2 - 2m^2 - 4mn - mn - 2n^2 = m^2 - 5mn - n^2
г) c−5c - 5c−5c−10c - 10c−10 + 3cc+5c + 5c+5 = c^2 - 10c - 5c + 50 + 3c^2 + 15c = 4c^2 + 0c + 50
б) x−yx - yx−y2x−3y2x - 3y2x−3y - 3x−y3x - y3x−y2x+y2x + y2x+y = 2x^2 - 3xy - 2xy + 3y^2 - 6x^2 + 3xy - 3y^2 = -4x^2 + 4xy
г) 3c−d3c - d3c−dd+3cd + 3cd+3c + 4c−d4c - d4c−dc−4dc - 4dc−4d = 3cd + 9c^2 - d^2 - 3cd + 12c^2 - 4cd - 4c^2 + 16cd - 4d^2 = 12c^2 + 4cd - 5d^2