Question

Упростить выражение
1)(а-3)²-а(а-6)
2)(x+5)²-(x-5)²
3)(z-2)²+(z-5)(z+7)
4)1-(2x-1)²

Answer 1

Объяснение:

1).

$( {a} - 3 ) ^{2} - a(a - 6) = {a}^{2} - 6a + 9 - {a}^{2} + 6a = 9$

2).

${(x + 5)}^{2} - {(x - 5)}^{2} = {x}^{2} + 10x + 25 - {x}^{2} + 10x - 25 = 20x$

3).

${(z - 2)}^{2} + (z - 5)(z + 7) = {z}^{2} - 4z + 4 + {z}^{2} + 7z - 5z - 35 = 2 {z}^{2} - 2z - 31$

4).

$1 - {(2x - 1)}^{2} = 1 - 4 {x}^{2} + 4x - 1 = - 4 {x}^{2} + 4x = 4x - 4 {x}^{2} = 4x(1 - x)$