Question

Упростите выражение 8(х-3) в квадрате+16х

Answer 1

8(x-3)²+16x= 8(x²-6x+9)+16x= 8x²-48x+72+16x= 8x²-32x+72= 8(x²-4x+9)

Answer 2

Ответ: $8x^2-32x+72.$

Решение:

$8(x-3)^2+16x = 8*((x-3)(x-3))+16x = 8(x^2-2*3x+3^2)+16x = \\8(x^2-6x+9)+16x = 8x^2-8*6x+8*9 +16x = 8x^2-48x+72+16x = \\8x^2-32x+72 = 8(x^2-4x+9).$