Rút gọn biểu thức
a, (3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)
b, (a+b+c)^2+(a-b-c)^2+(b-c-a)^2+(c-a-b)^2
c,(a+b+c+d)^2 +( a+b-c-d)^2+(a+c-b-d)^2+( a+d-b-c)^2
Rút gọn biểu thức
a, (3+1)(3^2 +1)(3^4 +1)(3^8 +1)(3^16 +1)(3^32 +1)
b, (a+b+c)^2+(a-b-c)^2+(b-c-a)^2+(c-a-b)^2
c, (a+b+c+d)^2+(a+b-c-d)^2+(a+c-b-d)^2+(a+d-b-c)^2
Rút gọn các biểu thức:
a, (3x+1)^2-2(3x+1)(3x+5)+(3x+5)^2
b,(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)
c,(a+b-c)^2+(a-b+c)^2-2(b-c)^2
d,(a+b+c)^2+(a-b-c)^2+(b-c-a)^2+(c-a-b)^2
e,(a+b+c+d)^2+(a+b-c-d)^2+(a+c-b-d)^2+(a+d-b-c)^2
Rút gọn các biểu thức sau:
a) 2x(2x-1)^2 - 3x(x+3)(x-3) - 4x(x+1)^2
b) (a-b+c)^2 - (b-c)^2 + 2ab-2ac
c) (3x+1)^2 - 2(3x+1)(3x+5) + (3x+5)^2
d) (3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)
e) (a+b-c)^2 + (a-b+c)^2 - 2(b-c)^2
g) (a+b+c)^2 + (a-b-c)^2 + (b-c-a)^2 + (c-a-b)^2
h) (a+b+c+d)^2 + (a+b-c-d)^2 + (a+c-b-d)^2 + (a+d-b-c)^2
Rút gọn các biểu thức sau:
a) 2x(2x-1)^2 - 3x(x+3)(x-3) - 4x(x+1)^2
b) (a-b+c)^2 - (b-c)^2 + 2ab-2ac
c) (3x+1)^2 - 2(3x+1)(3x+5) + (3x+5)^2
d) (3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)
e) (a+b-c)^2 + (a-b+c)^2 - 2(b-c)^2
g) (a+b+c)^2 + (a-b-c)^2 + (b-c-a)^2 + (c-a-b)^2
h) (a+b+c+d)^2 + (a+b-c-d)^2 + (a+c-b-d)^2 + (a+d-b-c)^2
rút gọn biểu thức:
a)(3+1)(32+1)(34+1)(38+1)(316+1)(332+1)
b)(a+b+c)2 +(a-b-c)2 +(b-c-a)2 +(c-a-b)2
c)(a+b+c+d)2 +(a+b-c-d)2 +(a+c-b-d)2 +(a+d-b-c)2
mong các bn giúp mk!thanks!
a) \(\left(3+1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\)
\(=\dfrac{1}{2}\left(3-1\right)\left(3+1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\)
\(=\dfrac{1}{2}\left(3^2-1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\)
\(=\dfrac{1}{2}\left(3^4-1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\)
\(=\dfrac{1}{2}\left(3^8-1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\)
\(=\dfrac{1}{2}\left(3^{16}-1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\)
\(=\dfrac{1}{2}\left(3^{32}-1\right)\left(3^{32}+1\right)\)
\(=\dfrac{1}{2}\left(3^{64}-1\right)\)
\(=\dfrac{3^{64}-1}{2}\)
b) \(\left(a+b+c\right)2+\left(a-b-c\right)2+\left(b-c-a\right)2+\left(c-a-b\right)2\)
\(=2\left[\left(a+b+c\right)+\left(a-b-c\right)+\left(b-c-a\right)+\left(c-a-b\right)\right]\)
\(=2\left(a+b+c+a-b-c+b-c-a+c-a-b\right)\)
\(=2.0\)
\(=0\)
c)\(\left(a+b+c+d\right)2+\left(a+b-c-d\right)2+\left(a+c-b-d\right)2+\left(a+d-b-c\right)2\)
\(=2\left(a+b+c+d+a+b-c-d+a+c-b-d+a+d-b-c\right)\)
\(=2.4a\)
\(=8a\)
a, 2.x.(x-1)^2-3.x.(x+3).(x-3)-4.x.(x+1)^2
b,(a-b+c)^2-(b-c)^2+2.a.b-2.a.c
c,(3.x+1)^2-2.(1+3.x).(3.x+5)+(3.x+5)^2
d, (3+1).(3^2+1).(3^4+1).(3^8+1).(3^16+1).(3^32+1)
e, (a+b-c)^2+(a-b+c)^2+(b-c-a)^2+(c-a-b)^2
Bài 19(Sách nâng cao và phát triển):Rút gọn biểu thức sau:
a) 2x(2x-1)2-3x(x+3)(x-3)-4x(x+1)2
b) (a-b+c)2-(b-c)2+2ab-2ac
d) (3+1)(32+1)(34+1)(38+1)(316+1)(332+1)
e) (a+b-c)2+(a-b+c)2-2(b-c)2
g) (a+b+c)2+(a-b-c)2+(b-c-a)2+(c-a-b)2
h) (a+b+c+d)2+(a+b-c-d)2+(a+c-b-d)2+(a+d-b-c)2
Tính nhanh:
a) 2x(2x-1)^2-3x(x+3)(x-3)-4x(x+1)^2
b)(3x+1)^2-2(3x+1)(3x+5)+(3x+5)^2
c)(a-b+c)^2+(b-c)^2+2ab-2ac
d)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)
e)(a+b-c)^2+(a-b+c)^2-2(b-c)^2
