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3.(-4)2 + 2.(-5) - 20
= 3.16 + 2.(-5) - 20
= 3.8.2 + 2.(-5) - 2.10
= 24.2 + 2.(-5) - 2.10
= (24 - 5 - 10) . 2
= 9.2
= 18
4 x 24 x 52 - (33 x 18 + 33 x 12 )
= 4 x 24 x 25 - ( 27 x 18 + 27 x 12 )
= 100 x 24 - [ 27 x ( 28 + 12 )]
= 2400 - ( 27 x 30 )
= 2400 - 810
= 1590
4.24.52 - ( 33.18 + 33.12)
= 4.24.25 - 33( 18 + 12 )
= 100.24 - 33.30
=2400 - 27.30
= 2400 - 810 = 1590
a/ 259 . 13 + 259 . 86 + 259
= 259 . 13 + 259 . 86 + 259 . 1
= 259 . ( 13 + 86 + 1 )
= 259 . 100
= 25 900
\(\dfrac{10.4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\dfrac{5.2.2^{12}.3^{10}+3^9.2^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\dfrac{5.2^{13}.3^{10}+2^{12}.3^{10}.5}{2^{11}.3^{11}\left(2.3-1\right)}=\dfrac{2^{12}.3^{10}.5\left(2+1\right)}{2^{11}.3^{11}.5}\)
\(=\dfrac{2^{11}.2.3^{10}.5.3}{2^{11}.3^{10}.3.5}=2\)
xy - x + 2y = 3
x(y - 1) + 2y - 2 = 3 - 2
x(y - 1) + 2(y - 1) = 1
<=> (x + 2)(y - 1) = 1
=> (x + 2)(y - 1) = 1.1 = ( - 1)(- 1)
Nếu x + 2 = 1 thì y - 1 = 1 => x = - 1 thì y = 2
Nếu x + 2 = - 1 thì y - 1 = - 1 => x = - 3 thì y = 0
Vậy x = - 1 thì y = 2; x = - 3 thì y = 0
\(x\left(y-1\right)+2y-2=3-2=1\)
\(\left(y-1\right)\left(x+2\right)=1\)
y-1={-1,1)=> y={0,2}
x+2={-1,1}=>x={-3,-1}
=52.22.11+22.52.89-9.103
=52.22(11+89)-9.103
=(5.2)2.100-9.103
=102.102_9.103
=103(10-9)
=103=1000
\(55.2^2.5+4.89.5^2-3.10^3\)
\(=55.4.5+4.89.25-9.1000\)
\(=220.5+356.25-9000\)
\(=1100+8900-9000\)
\(=10000-9000\)
\(=1000\)