Question

упростите уравнение
(8-3х)²-(х-6)*(6+х)+44х
если х=-5

Answer 1

${(8 - 3x)}^{2} - ( x- 6)(6 + x) + 44x \\ {(8 - 3x)}^{2} = 64 - 48x + 9 {x}^{2} \\ (x - 6)(6 + x) = 6x + {x}^{2} - 36 - 6x = {x}^{2} - 36 \\ 64 - 48x + {9x}^{2} - {x}^{2} + 36 + 44x =100 - 4x + 8 {x}^{2}$
если х= 5, то
$100 - 4x + 8 {x}^{2} = 100 - 20 + 8 \times 25 = 280$
ответ 280