25 x 24 +25 x 48 + 75 x 16 + 75 x 56
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\(2\)x\(4\)x\(8\)x\(5\)x\(25\)x\(125\)
=(2x5)x(4x25)x(8x125)
=10x100x1000
=1000000
2x4x8x5x25x125 = ( 2 x 5 ) x ( 4 x 25 ) x ( 8 x 125 )
= 10 x 100 x 1000
= 1000000
Chúc bạn học tốt và đạt điểm cao ❤
\(A=\left(1-\dfrac{1}{4}\right)\left(1-\dfrac{1}{9}\right)\cdot...\cdot\left(1-\dfrac{1}{9801}\right)\)
\(=\left(1-\dfrac{1}{2}\right)\left(1+\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1+\dfrac{1}{3}\right)\cdot...\left(1-\dfrac{1}{99}\right)\left(1+\dfrac{1}{99}\right)\)
\(=\left(\dfrac{1}{2}\cdot\dfrac{2}{3}\cdot...\cdot\dfrac{98}{99}\right)\cdot\left(\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot...\cdot\dfrac{100}{99}\right)\)
\(=\dfrac{1}{99}\cdot\dfrac{100}{2}=\dfrac{50}{99}\)
\(\sqrt{x^2-4}-x+2=0\\ \Leftrightarrow\sqrt{x^2-4}=x-2\\ \Leftrightarrow\left(\sqrt{x^2-4}\right)^2=\left(x-2\right)^2\)
\(\Leftrightarrow x^2-4-\left(x-2\right)^2=0\)
\(\Leftrightarrow\left(x-2\right)\left(x+2\right)-\left(x-2\right)^2=0\)
\(\Leftrightarrow\left(x-2\right)\left(x+2-x+2\right)=0\)
\(\Leftrightarrow\left(x-2\right)4=0\)
\(\Leftrightarrow x=2\)
Vậy \(S=\left\{2\right\}\)
\(\frac{75}{100}+\frac{3}{4}\times29+75\%\times30+0,75\times40\)
\(=0,75+0,75\times29+\frac{75}{100}\times30+0,75\times40\)
\(=0,75\times1+0,75\times29+0,75\times30+0,75\times40\)
\(=0,75\times\left(1+29+30+40\right)\)
\(=0,75\times100\)
\(=75\)
a) 125-(-75)+32-(48+32) = 125 + 75 + 32 - 48 - 32 = 200 - 48 = 152
b) 47.347+347.(-47) = 347.( 14 - 47 ) = 347 . 0 = 0
c) x-10=-14
x = -14 +10
x = -4
d) 15 + x = 13
x = 13 - 15
x = -2
e) 25 . x = -75
x = -75/25
x = -3
g) 5x - 16 = -46
5x = -46 + 16
5x = - 30
x = -6
i) 3x - (-11) = -4
3x + 11 = -4
3x = -4 - 11
3x = -15
x = -5
hok tốt!!
\(25\left(x+y\right)^2-16\left(x-y\right)^2\)
\(=\left(5x+5y\right)^2-\left(4x-4y\right)^2\)
\(=\left(5x+5y+4x-4y\right)\left(5x+5y-4x+4y\right)\)
\(=\left(9x+y\right)\left(x+9y\right)\)
= 35 . 34 + 35 . 38 + 65 . (-75 ) + 65 . ( -45 )
= 35 . ( 34 + 38 ) + 65 . ( -75 - 45 )
= 35 . 72 + 65 . ( -120 )
= 2520 - 7800
= -5280
35.34+(-35).(-38)+65.(-75)+(-65).45
= 35 . 34 + 35 . 38 + 65 . (-75 ) + 65 . ( -45 )
= 35 . ( 34 + 38 ) + 65 . ( -75 - 45 )
= 35 . 72 + 65 . ( -120 )
= 2520 - 7800
= -5280
xin like
=25(24+48)+75(16+56)
=72*25+72*75
=72*100
=7200
\(25.24+25.48+75.16+75.56\)
\(=25.\left(24+48\right)+75.\left(16+56\right)\)
\(=25.72+75.72\)
\(=\left(25+75\right).72\)
\(=100.72\)
\(=7200\)