Odpowiedź:
zad 8
a)
2x(x - 5) - 3(x² - 2x) + ( x - 2)x = 2x²- 10x - 3x²+ 6x +x² - 2x = - 6x
b)
a(a+ b+ c) -b(a - b + c) - c(a - b - c)=
= a² + ab + ac - ab+ b² - bc - ac + bc + c² = a² + b² + c²
c)
x(x² + 2x + 1) - ( - 4x³ + 8x² - 6) : 2 = x³ + 2x² + x + 4/2x³ - 8/2x² + 6/2 =
= x³ + 2x² + x + 2x³ - 4x² + 3 = 3x³ - 2x² + x + 3
d)
12b * (b - 1)/4 + 14 * (b² - 2b)/21 - (b - b²)/3 | * 21
21 * 12b (b - 1) + 4 * 14(b² - 2b) - 28(b - b²) =
= 252(b - 1) + 56(b² - 2b) - 28b + 28b² =
= 252b - 252 + 56b² - 112b- 28b + 28b² = 84b² + 112b - 252
Szczegółowe wyjaśnienie:
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Odpowiedź:
zad 8
a)
2x(x - 5) - 3(x² - 2x) + ( x - 2)x = 2x²- 10x - 3x²+ 6x +x² - 2x = - 6x
b)
a(a+ b+ c) -b(a - b + c) - c(a - b - c)=
= a² + ab + ac - ab+ b² - bc - ac + bc + c² = a² + b² + c²
c)
x(x² + 2x + 1) - ( - 4x³ + 8x² - 6) : 2 = x³ + 2x² + x + 4/2x³ - 8/2x² + 6/2 =
= x³ + 2x² + x + 2x³ - 4x² + 3 = 3x³ - 2x² + x + 3
d)
12b * (b - 1)/4 + 14 * (b² - 2b)/21 - (b - b²)/3 | * 21
21 * 12b (b - 1) + 4 * 14(b² - 2b) - 28(b - b²) =
= 252(b - 1) + 56(b² - 2b) - 28b + 28b² =
= 252b - 252 + 56b² - 112b- 28b + 28b² = 84b² + 112b - 252
Odpowiedź:
Szczegółowe wyjaśnienie: