Bài 3:
\(I=64^2-72\cdot64+36^2\)
\(I=64^2-2\cdot36\cdot64+36^2\)
\(I=\left(64-36\right)^2\)
\(I=28^2\)
\(I=784\)
\(K=47\cdot53\)
\(K=\left(50-3\right)\left(50+3\right)\)
\(K=50^2-3^2\)
\(K=2500-9\)
\(K=2491\)
\(M=123^3-69\cdot123^2+369\cdot23^2-23^3\)
\(M=123^3-3\cdot23\cdot123^2+3\cdot123\cdot23^2-23^3\)
\(M=\left(123-23\right)^3\)
\(M=100^3\)
\(M=1000000\)
\(N=54^3+138\cdot54^2+162\cdot46^2+46^3\)
\(N=54^3+3\cdot46\cdot54^2+3\cdot54\cdot46^2+46^3\)
\(N=\left(54+46\right)^3\)
\(N=100^3\)
\(N=1000000\)
Bài 1
A = 3(x - 1)² - (x + 1)² + 2(x - 3)(x + 3)
= 3x² - 6x + 1 - x² - 2x - 1 + 2x² - 18
= (3x² - x² + 2x²) + (-6x - 2x) + (1 - 1 - 18)
= 4x² - 8x - 18
B = 5x(x - 7)(x + 7) - 2(2x - 1)²
= 5x³ - 245x - 8x² + 8x - 2
= 5x³ - 8x² + (-245x + 8x) - 2
= 5x³ - 8x² - 237x - 2
C = (x² - 2)(x² + 2) - x² + 4
= x⁴ - 4 - x² + 4
= x⁴ - x²
D = (4x - 1)(1 + 16x + 4x) - (4x + 1)³
= 4x + 80x² - 1 - 20x - 64x³ - 48x² - 12x - 1
= -64x³ + (80x² - 48x²) + (4x - 20x - 12x) + (-1 - 1)
= -64x³ + 32x² - 28x - 2
Bài 3
Sửa đề I = 64² + 72.64 + 36²
= 64² + 2.64.36 + 36²
= (64 + 36)²
= 100²
= 10000
K = 47.53
= (50 - 3)(50 + 3)
= 50² - 3²
= 2500 - 9
= 2491
M = 123³ - 69.123² + 369.23² - 23³
= 123³ - 3.123².23 + 3.123.23² - 23³
= (123 - 23)³
= 100³
= 1000000
N = 54³ + 138.54² + 162.46² + 46³
= 54³ + 3.54².46 + 3.54.46² + 46³
= (54 + 46)³
= 100³
= 1000000