Question

Упростите выражение:
1) (х - 12)2 + 24x;
2) (х +8)= - х (х + 5);
3) 2x (х + 2) - (х-2);​

Answer 1

Объяснение:

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Answer 2

$(x - 12) {}^{2} + 24x \\ x {}^{2} - 24x + 144 + 24x \\ x {}^{2} + 144 - ( - 24 + 24) \\ x {}^{2} + 144$

$(x + 8) = - x(x + 5) \\ x + 8 = - x {}^{2} - 5x \\ x + 8 + x {}^{2} + 5x = 0 \\ 6x + 8 + x {}^{2} = 0 \\ x {}^{2} + 6x + 8 = 0 \\ x {}^{2} + 4x + 2x + 8 = 0 \\ x(x + 4) + 2(x + 4) = 0 \\ (x + 4) + (x + 2) = 0$

$x + 4 = 0 \\ x + 2 = 0 \\ x = - 4 \\ x = - 2$

$2x \times (x + 2) - (x - 2) \\ 2x {}^{2} + 4x - x + 2 \\ 2x {}^{2} + 3x + 2$