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a) \(103^2=\left(100+3\right)^2=10000+600+9=10609\)
b) \(52\cdot48=\left(50-2\right)\left(50+2\right)=2500-4=2496\)
c) \(75^2-50\cdot75+25^2=\left(75-25\right)^2=50^2=2500\)
\(103^2=\left(100+3\right)^2=100^2+2.3.100+3^2=10000+600+9=10609\)
\(52.48=\left(50+2\right)\left(50-2\right)=50^2-2^2=2500-4=2496\)
\(75^2-50.75+25^2=75^2-25.75-25.75+25^2=75\left(75-25\right)-25\left(75-25\right)=\left(75-25\right)=50^2=2500\)
nhiều quá mik chia ra giải nha
a) 1 + 2xy +x2y2
b) 25 + x2 - y2
c) x4 - 1
d) sao giống câu c) vậy b
e) 8x3 + 36x2 + 54x + 27
f) 27x3 - 27x2 + 9x - 1
g) 64x3 - y3
h) 125a3 + 27b3
i), k) mik ko biết
a: =75^2-2*75*25+25^2
=(75-25)^2=50^2=2500
b: =(100-3)(100+3)
=100^2-9
=10000-9
=9991
\(a.75^2-50.75+25^2\\ =75^2-2.25.75+25^2\\ =\left(75-25\right)^2=50^2=2500\)
\(b.103.97\\ =\left(100+3\right)\left(100-3\right)\\ =100^2-3^2\\ =9991\)
\(a,75^2-50.75+25^2\\ =75^2-2.75.25+25^2\\ =\left(75+25\right)^2=100^2=10000\\ b,103.97\\ =\left(100+3\right).\left(100-3\right)\\ =100^2-3^2=10000-9=9991\)
\(=\left(57^2-43^2\right)+\left(75^2-25^2\right)\\ =\left(57-43\right)\left(57+43\right)+\left(75-25\right)\left(75+25\right)\\ =100\cdot14+100\cdot50\\ =100\left(50+14\right)\\ =100\cdot64=6400\)
`a, 38 . 42 = (40-2)(40+2) = 1600 - 4 = 1596`.`
`b, 102^2 = (100+2)^2 = 10000 + 400 + 4 = 10404`
`c, 198^2 = (200-2)^2 = 40000 - 800 + 4 = 39204`
`d, 75^2 - 25^2 = (75+25)(75-25) = 100. 50 = 5000`
Lời giải:
a)
\(A=75^2+50.75+25^2=75^2+2.25.75+25^2\)
\(=(75+25)^2=100^2=10000\)
b) \(123^2+23^2-46.123=123^2-2.23.123+23^2\)
\(=(123-23)^2=100^2=10000\)
c) \((3^4-1)(3^4+1)-9^4\)
\(=[(3^4)^2-1^2]-9^4=(9^4-1)-9^4=-1\)
\(75^2+25^2-50.75\)
\(=75^2-2.25.75+25^2\)
\(=\left(75-25\right)^2\)
\(=50^2\)
\(=2500\)