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Bài 1 :
a, \(\left(x+3\right)^2+\left(x-3\right)^2+2\left(x^2-9\right)\)
\(=x^2+6x+9+x^2-6x+9+2x^2-18\)
\(=4x^2\)
b, \(\left(4x-1\right)^3-\left(4x-3\right)\left(16x^2+3\right)\)
\(=64x^3-32x^2+4x-16x^2+8x-1-64x^3-12x+48x^2+9=8\)
Bài 3:
\(K=\left(a-1\right)\left(a^2+a+1\right)\left(a+1\right)\left(a^2-a+1\right)\)
\(=\left(a^3+1\right)\left(a^3-1\right)\)
\(=a^6-1\)
Bài 2:
\(\Leftrightarrow64x^3+1-64x^3+80x=17\)
=>80x=16
hay x=1/5
\(\left(+\right)A=\left(2x+3\right)\left(4x^2-6x+9\right)-2\left(4x^3-1\right).\)
\(A=8x^3-6x^2-18x+27-8x^3+2\)
\(A=6x^2-18x+29\)
\(\left(+\right)B=\left(x-1\right)^3-\left(x+1\right)^3+6\left(x-1\right)\left(x+1\right)\)
\(B=x^3-3x^2+3x+1-x^3-3x^2-3x-1+6\left(x^2-1\right)\)
\(B=-6x^2+6x^2-6\)
\(B=-6\)
\(a,\left(6x+1\right)\left(x+2\right)-2x\left(3x-5\right)\)
\(=6x^2+12x+x+2-6x^2+10x\)
\(=23x+2\)
a) (6x + 1)(x + 2) - 2x(3x - 5)
= 6x2 + 12x + x + 2 - 6x2 + 10x
= (6x2 - 6x2) + (12x + x + 10x) + 2
= 23x + 2
b) (2x - 1)2 - (2x - 3)(2x + 3)
= 4x2 - 4x + 1 - 4x2 + 9
= (4x2 - 4x2) - 4x + (1 + 9)
= -4x + 10
c) (2x - 3)3 - (3x + 1)(5 - 4x) - 16x2
= 8x3 - 36x2 + 54x - 15x + 12x2 - 5 + 4x - 16x2
= 8x3 - (36x2 - 12x2 + 16x2) + (54x - 15x + 4x) - 5
= 8x3 - 40x2 + 43x - 5
d) (3x + 2) - (x - 5) - x(3x - 13)
= 3x + 2 - x + 5 - 3x2 + 13x
= (3x - x + 13x) + (2 + 5) - 3x2
= 15x + 7 - 3x2
mk thực sự cần bn hiểu bài
a) = x(x2 -4) -(x3 - 27) = x3 -4x -x3 +27
= 27-4x thay x = 1/4 có;
= 26
( nếu hiu dc mk lam tip cho)
a) \(\left(x+3\right)^2+\left(x-3\right)^2+2\left(x^2+9\right)\)
\(=\left(x+3\right)^2+2\left(x+3\right)\left(x-3\right)+\left(x-3\right)^2\)
\(=\left[\left(x+3\right)+\left(x-3\right)\right]^2\)
\(=\left(x+3+x-3\right)^2\)
\(=\left(2x\right)^2\)
\(=4x^2\)
b) \(\left(4x-1\right)^3-\left(4x-3\right)\left(16x^2+3\right)\)
\(=\left(64x^3-48x^2+12x-1\right)-\left(64x^3+12x-48x^2-9\right)\)
\(=64x^3-48x^2+12x-1-64x^3-12x+48x^2+9\)
\(=\left(64x^3-64x^3\right)-\left(48x^2-48x^2\right)+\left(12x-12x\right)-\left(1-9\right)\)
\(=0-0+0+8\)
\(=8\)
a) (x + 3)² + (x - 3)² + 2(x² - 9)
= (x + 3)² + 2(x + 3)(x - 3) + (x - 3)²
= (x + 3 + x - 3)²
= (2x)²
= 4x²
b) (4x - 1)³ - (4x - 3)(16x² + 3)
= 64x³ - 48x² + 12x - 1 - 64x³ - 12x + 48x² + 9
= (64x³ - 64x³) + (-48x² + 48x²) + (12x - 12x) + (-1 + 9)
= 8