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a) Ta có: \(85^2-15^2\)
\(=\left(85-15\right)\left(85+15\right)\)
\(=70\cdot100=7000\)
b) Ta có: \(93^3+21\cdot93^2+3\cdot49\cdot93+343\)
\(=93^3+3\cdot93^2\cdot7+3\cdot93+7^2+7^3\)
\(=\left(93+7\right)^3\)
\(=100^3=1000000\)
c) Ta có: \(73^2-13^2-10^2+20\cdot13\)
\(=73^2-\left(13^2+10^2-20\cdot13\right)\)
\(=73^2-\left(13^2-2\cdot13\cdot10+10^2\right)\)
\(=73^2-\left(13-10\right)^2\)
\(=73^2-3^2=\left(73-3\right)\left(73+3\right)\)
\(=70\cdot76=5320\)
a) \(85^2-15^2=\left(85-15\right)\left(85+15\right)=70.100=7000\)
b) \(93^3+21.93^2+3.49.93+343\)
\(=93^3+3.7.93^2+3.7^2.93+7^3\)
\(=\left(93+7\right)^3\)
\(=100^3=1000000\)
c) \(73^2-13^2-10^2+20.13\)
\(=73^2-\left(13^2+10^2-20.13\right)\)
\(=73^2-\left(13-10\right)^2\)
\(=73^2-3^2\)
\(=\left(73+3\right)\left(73-3\right)\)
\(=76.70=5320\)
d) Viết = Latex hộ mình
\(87^2+73^2-27^2-13^2=\left(87^2-27^2\right)+\left(73^2-13^2\right)\)
\(=\left(87-27\right)\left(87+27\right)+\left(73-13\right)\left(73+13\right)\)
\(=60\cdot114+60\cdot86=60\left(114+86\right)=60\cdot200=12000\)
a) \(85^2-15^2=\left(85-15\right)\left(85+15\right)=70.100=7000\)
c) \(73^2-13^2-10^2+20.13\)
\(=73^2-\left(13^2+10^2-20.13\right)\)
\(=73^2-\left(13^2-2.13.10+10^2\right)\)
\(=73^2-\left(13-10\right)^2\)
\(=73^2-3^2\)
\(=\left(73-3\right)\left(73+3\right)\)
\(=70.76\)
\(=5320\)
d)Viết đề = công thức trực quan hộ mình
\(87^2+73^2-27^2-13^2\)
\(=87^2-13^2+73^2-27^2\)
\(=\left(87^2-13^2\right)+\left(73^2-27^2\right)\)
\(=\left(87+13\right)\left(87-13\right)+\left(73+27\right)\left(73-27\right)\)
\(=74\cdot100+46\cdot100\)
\(=7400-4600\)
\(=2800\)
872+732-272-132
=(872-132)+(732-272)
=(87+13)(87-13)+(73+27)(73-27)
=100.74+100.46
=100.(74+46)
=100.120
=12000
a) 732 - 272
= ( 73 + 27 ) ( 73 - 27 )
= 100 . 46
= 4600
b) 372 - 132
= ( 37 + 13 ) ( 37 - 13 )
= 50 . 24
= 1200
c) 20022 - 22
= ( 2002 + 2 ) ( 2002 - 2 )
= 2004 . 2000
= 4008000
câu c bạn viết thiếu mjk viết lại
a)73^2 - 27^2
=(73+27)(73-27)
=100.46
=4600
b)37^2 - 13^2
=(37+13)(37-13)
=50.24
=1200
c)2002^2 - 2^2
=(2002+2)(2002-2)
=2004.2000
=4008000
5320