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ГДЗ Алгебра 7 клас Істер (2024)
2. ЦІЛІ ВИРАЗИ
Реклама:
Спростіть вираз:
1) х(х + 1)(х + 2) – 3(х – 2)(х + 2) + 2(х – 6) = х(х2 + 2х + х + 2) – 3(х2 – 4) + 2(х – 6) = x3 +2x2 + x2 + 2х – 3х2 + 12 + 2х – 12 = x3 + 4х;
2) (2x + 3y)(3y – x) – (2x – y)(5x – y) + (2x – 3y)(5x + 2y) = (6xy – 2x2 + 9y2 – 3xy) – (10x2 – 2xy – 5xy + y2) + (10x2 + 4xy – 15xy – 6y2) = 6xy – 2xy2 + 9y2 – 3xy – 10x2 + 2xy + 5xy – y2 + 10x2 + 4xy – 15xy – 6y2 = 2y2 – 2x2 – xy.
1) х(х + 1)(х + 2) – 3(х – 2)(х + 2) + 2(х – 6) = х(х2 + 2х + х + 2) – 3(х2 – 4) + 2(х – 6) = x3 +2x2 + x2 + 2х – 3х2 + 12 + 2х – 12 = x3 + 4х;
2) (2x + 3y)(3y – x) – (2x – y)(5x – y) + (2x – 3y)(5x + 2y) = (6xy – 2x2 + 9y2 – 3xy) – (10x2 – 2xy – 5xy + y2) + (10x2 + 4xy – 15xy – 6y2) = 6xy – 2xy2 + 9y2 – 3xy – 10x2 + 2xy + 5xy – y2 + 10x2 + 4xy – 15xy – 6y2 = 2y2 – 2x2 – xy.