Tính nhanh: a)20042-16
b) 8922+892.216+1082
c)10,2.9,8-9,8.0,2 +10,2.0,2
d) 362+262-52.36
Tính nhanh :
A.2004^2-16
B.892^2+892.216+108^2
C.10,2.9,8-9,8.0,2+10,2^2-10,2.0,2
D.36^2+26^2-52.36
E.105^2-25
F.73^2-27^2
\(A=2004^2-16=\left(2004-4\right)\left(2004+4\right)=2000\cdot2008=4016000\)
\(B=892^2+892\cdot216+108^2=892^2+2\cdot892\cdot108+108^2=\left(892+108\right)^2=1000^2=1000000\)
\(C=10,2\cdot9,8-9,8\cdot0,2+10,2^2-10,2\cdot0,2\)
\(=9,8\left(10,2-0,2\right)+10,2\left(10,2-0,2\right)\)
\(=10\cdot\left(9,8+10,2\right)=10\cdot20=200\)
\(D=36^2+26^2-52\cdot36=\left(36-26\right)^2=10^2=100\)
\(E=105^2-25=\left(105-5\right)\left(105+5\right)=100\cdot110=11000\)
\(F=73^2-27^2=\left(73-27\right)\left(73+27\right)=46\cdot100=4600\)
A. 20042-16=20042-42=(2004-4)(2004+4)=2000.2008=2016000
B. 8922+892.216+1082= 8922+2.892.108+1082=(892+108)2=10002=1000000
C.Khó nhìn quá
D.362+262-52.36=362-2.36.26+262=(36-16)2=202=400
E.1052-25=(105-5)(105+5)=100.110=11000
F. 732-272=(73-27)(73+27)=46.100=4600
892^2+892.216+108^2
36^2+26^2-52.36
10,2.9,8-9,8.0,2+10,2^2-10,2.0,2
a: \(=\left(892+108\right)^2=1000^2=1000000\)
b: \(=\left(36-26\right)^2=10^2=100\)
c: \(=9.8\cdot10+10.2\cdot10=20\cdot10=200\)
Tính nhanh :
a/ 20042 - 16
b/ 10,2.9,8 - 9,8.0,2 + 10,22 - 10,2.0,2
a) 20042 - 16
= 20042 - 42
= (2004 - 4)(2004 + 4)
= 2000.2008
= 4016000
b) 10,2.9,8 - 9,8.0,2 + 10,2.0,2
= 9,8(10,2 - 0,2) + 2,04
= 9,8.10 + 2,04
= 98 + 2,04
= 100,04
a) Đề có trục trặc
\(20042-16=20026\)
b) \(10,2.9,8-9,8.0,2+10,2.10,2-10,2.0,2\)
\(=9,8\left(10,2-0,2\right)+10,2\left(10,2-0,2\right)\)
\(=9,8.10+10,2.10=10\left(9,8+10,2\right)=10.20=200\)
Tính nhanh
\(892^2+892.216+108^2\)
\(10,2.9,8-9,8.0,2+10,2^2-10,2.0,2\)
\(36^2+26^2-52.36\)
Lời giải:
\(892^2+892.216+108^2=892^2+2.892.108+108^2\)
\(=(892+108)^2=1000^2=1000000\)
-------
\(10,2.9,8-9.8.0,2+10,2^2-10,2.0,2\)
\(=9,8(10,2-0,2)+10,2(10,2-0,2)\)
\(=9,8.10+10,2.10=10(9,8+10,2)=10.20=200\)
--------
\(36^2+26^2-52.36=36^2-2.36.26+26^2\)
\(=(36-26)^2=10^2=100\)
Bài 3: Tính nhanh:
a) 20042 - 16; b) 8922 + 892 . 216 + 1082
c) 10,2 . 9,8 – 9,8 . 0,2 + 10,22 –10,2 . 0,2 d) 362 + 262 – 52 . 36
e) 993 + 1 + 3(992 + 99) f)37. 43
g) 20,03 . 45 + 20,03 . 47 + 20,03 . 8 h) 15,75 . 175 – 15, 75 . 55 – 15, 75 . 20
Tính nhanh :
a/ 20042 - 16
b/ 10,2.9,8 - 9,8.0,2 + 10,22 - 10,2.0,2
a) 20042 - 16
= 20042 - 42
= (2004 - 4)(2004 + 4)
= 2000.2008
= 4016000
b) 10,2.9,8 - 9,8.0,2 + 10,2.0,2
= 9,8(10,2 - 0,2) + 2,04
= 9,8.10 + 2,04
= 98 + 2,04
= 100,04
a) \(2004^2-16=2004^2-4^2=\left(2004-4\right)\left(2004+4\right)=2000.2008=4016000\)
b) \(10,2.9,8-9,8.0,2+10,2^2-10,2.0,2=9,8\left(10,2-0,2\right)+10,2\left(10,2-0,2\right)=9,8.10+10,2.10=98+102=200\)
phân tích đa thức thành nhân tử: 6xy+5x-5y-3x2-3y2
Thực hiện phép tính:
a) (x2 +x-3).(x2-x+3)
b) (5x-1).(x+3)-(x-2).(5x-4)
c)(x-1)3-(x+3)-(x+3)(x2-3x+9)+3(x2-4)=2
Tính nhanh: a) 20042-16 b)8922+892.216+1082
c)10,2.9,8-9,8.0,2+10,22-10,2.0,2
d) 362+262-52.36
giúp mik vs mik đang cần gấp T_T
Phân tích đa thức thành nhân tử:
\(6xy+5x-5y-3x^2-3y^2\)
\(=-3x^2+6xy-3y^2+5x-5y\)
\(=-3\left(x^2-2xy+y^2\right)+5\left(x-y\right)\)
\(=-3\left(x-y\right)^2+5\left(x-y\right)\)
\(=\left(x-y\right)\left[-3\left(x-y\right)+5\right]\)
\(=\left(x-y\right)\left(-3x+3y+5\right)\)
Thực hiện phép tính:
a)\(\left(x^2+x-3\right)\left(x^2-x+3\right)\)
\(=\left[x^2+\left(x-3\right)\right]\left[x^2-\left(x-3\right)\right]\)
\(=\left(x^2\right)^2-\left(x-3\right)^2\)
\(=x^4-\left(x^2-6x+9\right)\)
\(=x^4-x^2+6x-9\)
b)\(\left(5x-1\right)\left(x+3\right)-\left(x-2\right)\left(5x-4\right)\)
\(=\left(5x^2+15x-x-3\right)-\left(5x^2-4x-10x+8\right)\)
\(=5x^2+15x-x-3-5x^2+4x+10x-8\)
\(=28x-11\)
Tính nhanh:
a)\\(2004^2-16\\)
\\(=2004^2-4^2\\)
\\(=\\left(2004-4\\right)\\left(2004+4\\right)\\)
\\(=2000.2008\\)
\\(=40160000\\)
b)\\(892^2+892.216+108^2\\)
\\(=892^2+2.892.108+108^2\\)
\\(=\\left(892+108\\right)^2\\)
\\(=1000^2\\)
\\(=1000000\\)
c)\\(10,2.9,8-9,8.0,2+10,2^2-10,2.0,2\\)
\\(=9,8\\left(10,2-0,2\\right)+10,2\\left(10,2-0,2\\right)\\)
\\(=9,8.10+10,2.10\\)
\\(=10\\left(9,8+10,2\\right)\\)
\\(=10.20\\)
\\(=200\\)
a) 892 mũ 2+892.216+108 mũ 2
b) 10,2.9,8-9,8.0,2+10,2-10,2.0,2
c) 99 mũ 3+1+3.(99 bình +99)
d) A=x2+y2 biết x+y=-8;xy=15
Mong mọi người giúp em
Em cảm ơn ạ
Tính nhanh :
a/362 + 262 - 52.36
b/993 + 1 + 3(992 + 99)
a: \(36^2+26^2-52\cdot36=\left(36-26\right)^2=10^2=100\)
b: \(99^3+1+3\left(99^2+99\right)\)
\(=\left(99+1\right)^3-3\cdot99\cdot1\cdot\left(99+1\right)+3\left(99^2+99\right)\)
=100^3=10^6