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AnastasiaMilet
@AnastasiaMilet
August 2022
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Помогите с алгеброй
Составьте сумму и разность многочленов и приведите к стандартному виду:
a)27a во 2+9b-16 и 4а во 2-8b+3
б) x во 2 - 3ху-у во 2 и x во 2 + у во 2
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zhenyaM2002
Verified answer
А)
(27а² + 9b - 16) + (4a² - 8b + 3) =
= (27a² + 4a²) + (9b - 8b) + (-16 + 3) =
= 31a² + b - 13
(27a² + 9b - 16) - (4a² - 8b + 3) =
= 27a² + 9b - 16 - 4a² +8b - 3 =
= (27a² - 4a²) + (9b + 8b) - (16 + 3) =
= 23a² + 17b - 19
б)
(x² -3xy -y² ) + (x² + y² ) =
= (x² + x²) - 3xy + (-y² + y²) =
= 2x² - 3xy
(x² - 3xy - y²) - (x² + y²) =
=x² - 3xy - y² - x² - y² =
= (x² -x²) - 3xy - (y² + y²) =
= - 3xy - 2y²
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Answers & Comments
Verified answer
А)(27а² + 9b - 16) + (4a² - 8b + 3) =
= (27a² + 4a²) + (9b - 8b) + (-16 + 3) =
= 31a² + b - 13
(27a² + 9b - 16) - (4a² - 8b + 3) =
= 27a² + 9b - 16 - 4a² +8b - 3 =
= (27a² - 4a²) + (9b + 8b) - (16 + 3) =
= 23a² + 17b - 19
б)
(x² -3xy -y² ) + (x² + y² ) =
= (x² + x²) - 3xy + (-y² + y²) =
= 2x² - 3xy
(x² - 3xy - y²) - (x² + y²) =
=x² - 3xy - y² - x² - y² =
= (x² -x²) - 3xy - (y² + y²) =
= - 3xy - 2y²