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772 + 232 + 77.46
= 772 + 2.77.23 + 232
= (77 + 23)2
= 1002
= 10000
Theo bài ra , ta có :
77x2 + 23x2 + 77.46
= 77x2 + 2.23.77x + 232 ( bn sai đề mik sửa lại một chút nhé =)) )
= ( 77x + 23 )2
1. a) 1012 - 992 = (101 + 99)(101 - 99) = 200 . 2 = 400
b) 98.102 = (100 - 2)(100 + 2) = 1002 - 4 = 10000 - 4 = 9996
c) 772 + 232 + 77.46 = 772 + 232 + 77.23.2 = (23 + 77)2 = 1002 = 10000
d) M = x3 + 9x2 + 27x + 27 = (x + 3)3 = (7 + 3)3 = 103 = 1000
2. a) 2x2 + 3x - 5 = 0
=> 2x2 + 5x - 2x - 5 = 0
=> x(2x + 5) - (2x + 5) = 0
=> (x - 1)(2x + 5) = 0
=> \(\backslash\text{orbr} \left{\right. x - 1 = 0 \\ 2 x + 5 = 0\)
=> \(\backslash\text{orbr} \left{\right. x = 1 \\ x = - \frac{5}{2}\)
b) 2x2 - 11x - 51 = 0
=> 2x2 - 17x + 6x - 51 = 0
=> x(2x - 17) + 3(2x - 17) = 0
=> (x + 3)(2x - 17) = 0
=> \(\backslash\text{orbr} \left{\right. x + 3 = 0 \\ 2 x - 17 = 0\)
=> \(\backslash\text{orbr} \left{\right. x = - 3 \\ x = \frac{17}{2}\)
Ta có:\(77^2+23^2+77.46\)
\(=77^2+2.23.77+23^2\)
\(=\left(77+23\right)^2\)
\(=100^2=10000\)
=77*77+23*23+77*46
=77*(77+46)+23*23
=77*123+23*23
=9471+529
=1000
a) \(101^2\)
\(=\left(100+1\right)^2\)
\(=100^2+2.100.1+1^2\)
\(=10000+200+1\)
\(=10200+1\)
\(=10201\)
b) \(97.103\)
\(=\left(100-3\right).\left(100+3\right)\)
\(=100^2-3^2\)
\(=10000-9\)
\(=9991\)
c) \(77^2+23^2+77.46\)
\(=77^2+77.46+23^2\)
\(=77^2+2.77.23+23^2\)
\(=\left(77+23\right)^2\)
\(=100^2\)
\(=10000\)
d) \(105^2-5^2\)
\(=\left(105-5\right)\left(105+5\right)\)
\(=100.110\)
\(=11000\)
lâu lắm r moi lên h24, tớ giúp bn nhé:
*1012 = (100+1)2 = 104 + 2.100.1 +12 = 10201
*97.103= (100-3)(100+3) = 102 - 32 = 9991
* = 772 + 2.77.23 + 232 = (77+23)2 = 104
772 + 232 + 77.46 = 772 + 232 + 2.77.23
= (77 + 23)2 = 1002 = 10000
\(77^2+23+77.46\)
\(=77.77+23+77.46\)
\(=77.\left(77+46\right)+23\)
\(=77.123+23\)
\(=9471+23=9494\)
\(77^2+23+77.46\)
\(=77.77+23+77.46\)
\(=77.\left(77+46\right)+23\)
\(=77.123+23\)
\(=9471+23\)
\(=9494\)
\(vt=77^2+23+77.23+77.23.\)
\(77\left(77+23\right)+23\left(77+1\right)\)
\(0+23.78=23.100-23.22\)
\(=2300-23.10-23.10-23.2=2300-230-230-46\)
\(2300-460-46=2300-300-60-46=2000-106\)
\(=1900-6=1984\)
772+23+77.46
= 772+23+77.23+77.23
= 77.(77+23)+23.(77+1)
= 77.100+23.78
= 7700+1794=9494
Ta có:\(77^2+23+77.46\)
\(=77.77+23+77.46\)
\(=\left(77.46+77.77\right)+23\)
\(=77.\left(46+77\right)+23\)
\(=77.123+23\)
\(=9471+23=9494\)