Question

Раскройте скобки и выражениях:(x+2z)2,(x+4z)2,(a+2)3,(2b+3)3.

Answer 1

Восвшосншдиаы. пщдпкшлп

Answer 2

2х+4z, 2x+8z, 3a+6, 6b+9

Answer 3

1) (x+2z)2 = (x+2z)(x+2z) = x(x+2z) + 2z(x+2z) = x^2 + 2xz + 2xz + 4z^2 = x^2 + 4xz + 4z^2

2) (x+4z)2 = (x+4z)(x+4z) = x(x+4z) + 4z(x+4z) = x^2 + 4xz + 4xz + 16z^2 = x^2 + 8xz + 16z^2

3) (a+2)3 = (a+2)(a+2)(a+2) = (a+2)(a^2 + 2a + 2a + 4) = (a+2)(a^2 + 4a + 4) = a(a^2 + 4a + 4) + 2(a^2 + 4a + 4) = a^3 + 4a^2 + 4a + 2a^2 + 8a + 8 = a^3 + 6a^2 + 12a + 8

4) (2b+3)3 = (2b+3)(2b+3)(2b+3) = (2b+3)(4b^2 + 6b + 6b + 9) = (2b+3)(4b^2 + 12b + 9) = 2b(4b^2 + 12b + 9) + 3(4b^2 + 12b + 9) = 8b^3 + 24b^2 + 18b + 12b^2 + 36b + 27 = 8b^3 + 36b^2 + 54b + 27