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a) \(41\cdot24-41\cdot14+59\cdot24-59\cdot14\)
\(=41\cdot10+59\cdot10\)
\(=1000\)
a) 2,83.5,68-2,83.4,68+1,17.5,68-1,17.4,68
= 2,83.(5,86-4,86)+1,17.(5,86-4,86)=2,83.1+1,17.1=4
b) 1112-1372-482+96.137
= 1112-(1372-2.48.137+482)=1112-(137-48)2=1112-892=(111-89)(111+89)=22.200=4400
a: \(78\cdot82=80^2-4=6400-4=6396\)
b: \(45^2+90\cdot55+55^2=100^2=10000\)
c) Ta có: \(33\cdot55+33\cdot67+45\cdot33+67\cdot67\)
\(=33\left(55+45\right)+67\left(33+67\right)\)
\(=33\cdot100+67\cdot100\)
\(=100\cdot100=10000\)
Bài 1:
\(a,=\left(156-56\right)^2=100^2=10000\\ b,=\left(x-y\right)^2-4z^2=\left(x-y-2z\right)\left(x-y+2z\right)\)
Bài 2:
\(a,=\left(x-y\right)\left(x+y\right)-5\left(x-y\right)=\left(x-y\right)\left(x+y-5\right)\\ b,=x^2+2x-6x-12=\left(x+2\right)\left(x-6\right)\\ c,=3\left(x^2-2xy-16+y^2\right)=3\left[\left(x-y\right)^2-16\right]\\ =3\left(x-y-4\right)\left(x-y+4\right)\)
a: \(68^2+64\cdot68+32^2\)
\(=\left(68+32\right)^2\)
=10000
b: \(51\cdot49=50^2-1=2499\)
\(\frac{9}{5}\)S = 9+99+...+99...9 (50 chữ số 9)
=10-1+102-1+...+1050-1
=(10+102+...+1050)-(1+1+...+1)
=(1051-10) - 50
=1051-60
\(\Rightarrow\)S=(1051-60)/\(\frac{9}{5}\)= 5(1051-60)/9
\(a,=15\left(64+36\right)+100\cdot25+100\cdot60\\ =100\left(15+25+60\right)=100\cdot100=10000\\ b,Sửa:47^2+48^2-25^2+94\cdot48=\left(47+48\right)^2-25^2\\ =95^2-25^2=\left(95-25\right)\left(95+25\right)=70\cdot120=8400\)
a) \(45^2+33^2-22^2+90.33\)
\(=\)\(\left(45^2+33^2+2.45.33\right)-22^2\)
\(=\left(45+33\right)^2-22^2\)
\(=\left(45+33+22\right)\left(45+33-22\right)\)
\(=100.56\)
\(=5600\)