( 1/2 - 1/3 ).6x + 6x+2 = 610 + 67
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\(\left(\frac{1}{2}-\frac{1}{3}\right).6x+6x+2=67+64\)
\(\frac{\Rightarrow1}{6}.6x+6x+2=131\)
\(\Rightarrow x+6x=131-2\)
\(\Rightarrow7x=129\)
\(\Rightarrow x=\frac{129}{7}\)
thu gọn
a) 5y.(2y-1)-(3y+2).(3-3y)
b) (6x+1)^2 -2(6x+1).(6x-1)+(6x-1)^2
c) (2x+3)-2(2x+3)(x-2)+(x-2)^2
`a)5y(2y-1)-(3y+2)(3-3y)`
`=10y^2-5y+(3y+2)(3y-3)`
`=10y^2-5y+9y^2-9y+6y-6`
`=19y^2-8y-6`
`b)(6x+1)^2-2(6x+1)(6x-1)+(6x-1)^2`
`=(6x+1-6x+1)^2`
`=2^2=4`
`c)(2x+3)^2-2(2x+3)(x-20+(x-2)^2`
`=(2x+3-x+2)^2`
`=(x+5)^2`
`=x^2+10x+25`
\(a,=a^3+3a^2b+3ab^2+b^3-a^3+3a^2b-3ab^2+b^3-2b^3=6a^2b\\ b,=\left(6x+1-6x+1\right)^2=2^2=4\)
\(\text{a) }\left(6x+1\right)^2+\left(6x-1\right)^2-2\left(6x+1\right)\left(6x-1\right)\\ =\left[\left(6x+1\right)-\left(6x-1\right)\right]^2\\ =\left[6x+1-6x+1\right]^2\\ =2^2\\ =4\)
\(\text{b) }3\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\\ =\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\\ =\left(2^4-1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\\ =\left(2^8-1\right)\left(2^8+1\right)\left(2^{16}+1\right)\\ =\left(2^{16}-1\right)\left(2^{16}+1\right)\\ =2^{32}-1\)
\(1,\left(x-2\right)\left(x+2\right)\left(x^2+4\right)-\left(x^2-3\right)\left(x^2+3\right)\)
\(=\left(x^2-4\right)\left(x^2+4\right)-\left(x^2-9\right)\)
\(=x^2-16-x^2+9\)
\(=-7\)
\(2,\left(6x+1\right)^2+\left(6x-1\right)^2-2\left(1+6x\right)\left(6x-1\right)\)
\(=\left(6x+1-6x+1\right)^2\)
\(=2^2=4\)
a: \(\left(2x+1\right)^2+\left(2x-1\right)^2-2\left(x-3\right)^2\)
\(=4x^2+4x+1+4x^2-4x+1-2\left(x^2-6x+9\right)\)
\(=8x^2+2-2x^2+12x-18\)
\(=6x^2+12x-16\)
b: \(\left(x-1\right)^2-\left(3x+2\right)^2\)
\(=x^2-2x+1-9x^2-12x-4\)
\(=-8x^2-14x-3\)
c: \(\left(6x+1\right)^2+\left(6x-1\right)^2-2\left(6x+1\right)\left(6x-1\right)\)
\(=\left(6x+1\right)^2-2\left(6x+1\right)\left(6x-1\right)+\left(6x-1\right)^2\)
\(=\left(6x+1-6x+1\right)^2=2^2=4\)
a. ( 6x + 1 ) 2 + (6x - 1 )2 - 2(1+ 6x ) (6x-1 )
= (6x+1)2-2(6x+1)(6x-1)+(6x-1)2
=[(6x+1)-(6x-1)]2
= (6x+1-6x+1)2
= 22
=4
=>1/6 . 6x + 6x . 62 = 67 . ( 63 + 1 )
=> 6x (1/6 +62) = 67 . 217
=>(6x+1 . 217)/6=(68.217)/6
=>6x+1.217= 68.217
=>6x+1 = 68
=>x+1=8
=>x=7
Vậy x =7
Chúc bn hc tốt