Rút gọn biểu thức:
\(B=(2^2+1).(2^4+1).(2^8+1).(2^{16}+1)\)
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rút gọn biểu thức :
3(2^2+1)(2^4+1)(2^8+1)(2^16+1)
\(3\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^4-1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^8-1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^{16}-1\right)\left(2^{16}+1\right)\)
\(=2^{32}-1\)
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3.(22+1).(24+1).(28+1).(216+1)
=(22-1).(22+1).(24+1).(28+1).(216+1)
=(24-1).(24+1).(28+1).(216+1)
=(28-1).(28+1).(216+1)
=(216-1).(216+1)
=232-1
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Rút gọn biểu thức
3(2^2 +1)(2^4+1)(2^8+1)(2^16+1)
Rút gọn biểu thức
a) ( x^2-1)(x+2)-(x-2)(x^2+2x+4)
b) 3(2^2+1)(2^4+1)(2^8+1)(2^16+1)
Đặt A=3(22 +1)(24+1)(28+1)(216+1)
=(4-1)(2^2+1)(2^4+1)(28+1)(2^16+1)
=[(2^2-1)(2^2+1)](2^4+1)(2^8+1)(2^16+1)
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)
=(2^8-1)(2^8+1)(2^16+1)
=(2^16-1)
Theo mình ý a bn làm đc
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Rút gọn biểu thức sau:
A=3.(2^2+1).(2^4+1).(2^8+2).(2^16+1)
rút gọn biểu thức
a. (5x+1)^2+2(5x-1)(5x+1)+(5x+1)^2
b.(x^2+8)(x+4)-(x+4)(x^2-4x+16)
Rút gọn biểu thức:
a, (6x+1)^2+(6x-1)^2-2(1+6x)(6x-1)
b, 3(2^2+1)(2^4+1)(2^8+1)(2^16+1)
\(\left(6x+1\right)^2+\left(6x-1\right)^2-2\left(1+6x\right)\left(6x-1\right)\)
\(=\left(6x+1-6x+1\right)^2\)
\(=2^2=4\)
\(3\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^4-1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^8-1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^{16}-1\right)\left(2^{16}+1\right)\)
\(=2^{32}-1\)
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Rút gọn biểu thức:
a) (6x+1)^2+(6x-1)^2-2(1+6x)(6x-1).
b) 3(2^2+1)(2^4+1)(2^8+1)(2^16+1).
a) \(\left(6x+1\right)^2+\left(6x-1\right)^2-2\left(1+6x\right)\left(6x-1\right)\)
\(=\left(6x+1\right)\left(6x+1\right)+\left(6x-1\right)\left(6x-1\right)-2\left(1+6x\right)\left(6x-1\right)\)
\(=\left(6x+1\right)\left(6x+1\right)+\left(6x-1\right)\left[\left(6x-1\right)-2\left(1+6x\right)\right]\)
\(=\left(6x+1\right)\left(6x+1\right)+\left(6x-1\right)\left(6x-1-2-12x\right)\)
\(=36x^2+12x+1+\left(6x-1\right)\left(-6x-3\right)\)
\(=36x^2+12x+1+\left(-36x^2-12x+3\right)\)
\(=36x^2+12x+1-36x^2-12x+3\)
\(=4\)
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rút gọn biểu thức sau:
\((2^2+1).(2^4+1).(2^8+1).(2^{16}+1)\)
\(A=\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
=> \(3A=\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^4-1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^8-1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^{16}-1\right)\left(2^{16}+1\right)=2^{32}-1\)
=> \(A=\frac{2^{32}-1}{3}\)
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Rút gọn biểu thức :
A = 12.( 5^2 + 1 ).( 5^4 +1 ).( 5^8 + 1 ).( 5^16 + 1 )
B = ( 5x - 1 )2 + 2.( 1- 5x ).( 4 + 5x ) + ( 5x + 4 )^2