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ГДЗ Алгебра 7 клас Мерзляк (2024)
§ 1. Алгебраїчні вирази
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Подайте у вигляді многочлена вираз:
1) (0,02р3k + 20p2k4)2 = 0,0004p6k2 + 0,8p5k5 + 400р4k8;
2) (11/6mn – 4/21m2n5)2 = (7/6mn – 4/21m2n5)2 = 49/36m2n2 – 4/9m3n6 + 16/441m4n10 = 113/36m2n2 – 4/9m3n6 + 16/441m4n10;
3) –15(1/3a – 1/5b)2 = –15(1/9a2 – 2/15ab + 1/5b2) = –5/3a2 + 2ab – 3/5b2 = –12/3a2 + 2ab – 3/5b2;
4) 7x(х3 – 2х)2 = 7x(x6 – 4х4 + 4х2) = 7х7 – 28х5 + 28x3;
5) (5у – 2)2(2y + 1) = (25y2 – 20у + 4)(2у + 1) = 50y3 + 25y2 – 40y2 – 20у + 8y + 4 = 50y3 – 15y2 – 12у + 4;
6) (10p – k)2(10p + k)2 = ((10р – k)(10р + k))2 = (100p2 – k2)2 = 10000p2 – 200p2k2 + k4.
1) (0,02р3k + 20p2k4)2 = 0,0004p6k2 + 0,8p5k5 + 400р4k8;
2) (11/6mn – 4/21m2n5)2 = (7/6mn – 4/21m2n5)2 = 49/36m2n2 – 4/9m3n6 + 16/441m4n10 = 113/36m2n2 – 4/9m3n6 + 16/441m4n10;
3) –15(1/3a – 1/5b)2 = –15(1/9a2 – 2/15ab + 1/5b2) = –5/3a2 + 2ab – 3/5b2 = –12/3a2 + 2ab – 3/5b2;
4) 7x(х3 – 2х)2 = 7x(x6 – 4х4 + 4х2) = 7х7 – 28х5 + 28x3;
5) (5у – 2)2(2y + 1) = (25y2 – 20у + 4)(2у + 1) = 50y3 + 25y2 – 40y2 – 20у + 8y + 4 = 50y3 – 15y2 – 12у + 4;
6) (10p – k)2(10p + k)2 = ((10р – k)(10р + k))2 = (100p2 – k2)2 = 10000p2 – 200p2k2 + k4.