Question

Đã trả lời bởi chuyên gia

Answer 1

Tính

a)

$a .4 . (x - 1) (x + 1) - 5 x (x - 2) + x^{2} = 4 . (x^{2} - 1) - 5 x^{2} + 10 x + x^{2} = 4 x^{2} - 4 - 4 x^{2} + 10 x = 10 x - 4 b) (3 - 2 x) (x - 2) + 4 (x - 1) (x - 3) - 2 (x - 2) (x + 2) = 3 x - 2 x^{2} - 6 + 4 x + 4 . (x^{2} - x - 3 x + 3) - 2 . (x^{2} - 4) = 7 x - 2 x^{2} - 6 + 4 x^{2} - 16 x + 12 - 2 x^{2} + 8 = - 9 x + 14 c) (x^{n} + y^{n}) (x^{2 n} - x^{n} . y^{n} + y^{2 n}) (x^{3 n} - y^{3 n}) = [(x^{n} + y^{n}) (x^{2 n} - x^{n} . y^{n} + y^{2 n})] . (x^{3 n} - y^{3 n}) = [{(x^{n})}^{3} + {(y^{n})}^{3}] . (x^{3 n} - y^{3 n}) = (x^{3 n} + y^{3 n}) . (x^{3 n} - y^{3 n}) = {(x^{3 n})}^{2} - {(y^{3 n})}^{2} = x^{6 n} - y^{6 n}$

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Answer 2

Tính

a)

$a .4 . (x - 1) (x + 1) - 5 x (x - 2) + x^{2} = 4 . (x^{2} - 1) - 5 x^{2} + 10 x + x^{2} = 4 x^{2} - 4 - 4 x^{2} + 10 x = 10 x - 4 b) (3 - 2 x) (x - 2) + 4 (x - 1) (x - 3) - 2 (x - 2) (x + 2) = 3 x - 2 x^{2} - 6 + 4 x + 4 . (x^{2} - x - 3 x + 3) - 2 . (x^{2} - 4) = 7 x - 2 x^{2} - 6 + 4 x^{2} - 16 x + 12 - 2 x^{2} + 8 = - 9 x + 14 c) (x^{n} + y^{n}) (x^{2 n} - x^{n} . y^{n} + y^{2 n}) (x^{3 n} - y^{3 n}) = [(x^{n} + y^{n}) (x^{2 n} - x^{n} . y^{n} + y^{2 n})] . (x^{3 n} - y^{3 n}) = [{(x^{n})}^{3} + {(y^{n})}^{3}] . (x^{3 n} - y^{3 n}) = (x^{3 n} + y^{3 n}) . (x^{3 n} - y^{3 n}) = {(x^{3 n})}^{2} - {(y^{3 n})}^{2} = x^{6 n} - y^{6 n}$

Answer 3

`@Nam`

`4(x - 1)(x + 1) - 5x(x - 2) + x ^ 2`$\\$`=4(x ^ 2 - 1) - 5x ^ 2 + 10x + x ^ 2`$\\$`=4x ^ 2 - 4 - 5x ^ 2 + 10x + x ^ 2`$\\$`=0 - 4 + 10x`$\\$`=- 4 + 10x`

`b,(3 - 2x)(x - 2) + 4(x - 1)(x - 3) - 2(x - 2)(x + 2)`$\\$`=3x - 6 - 2x ^ 2 + 4x + (4x - 4)(x - 3) - 2(x ^ 2 - 4)`$\\$`=3x - 6 - 2x ^ 2 + 4x + 4x ^ 2 - 12x - 4x + 12 - 2x ^ 2 + 8`$\\$`=- 9x + 14 + 0`$\\$`=- 9x + 14`$\\$`c,(x ^ n + y ^ n)(x ^ 2 * n - x ^ n * y ^ n + y ^ (2n))(x ^ 3 * n - y ^ 3 * n)`$\\$`=(x ^ n + y ^ n)(n * x ^ 2 - x ^ n * y ^ n + y ^ (2n))(n * x ^ 3 - n * y ^ 3)`$\\$`=(n * x ^ (n + 2) - x ^ (2n) * y ^ n + x ^ n * y ^ (2n) + n * x ^ 2 * y ^ n - x ^ n * y ^ (2n) + y ^ (3n))(n * x ^ 3 - n * y ^ 3)`$\\$`=(n * x ^ (n + 2) - x ^ (2n) * y ^ n + n * x ^ 2 * y ^ n + y ^ (3n))(n * x ^ 3 - n * y ^ 3)`$\\$`=n ^ 2 * x ^ (n + 5) - n ^ 2 * x ^ (n + 2) * y ^ 3 - n * x ^ (2n + 3) * y ^ n + n * x ^ (2n) * y ^ (n + 3) + n ^ 2 * x ^ 5 * y ^ n - n ^ 2 * x ^ 2 * y ^ (n + 3) + n * x ^ 3 * y ^ (3n) - m * y ^ (3n + 3)`

2 câu trả lời 348

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