Tính nhanh:
a) 34^2 + 66^2 + 68 . 66
b) 74^2 + 24^2 – 48 . 74.
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a. 34^2 + 66^2 + 68 x 66
= 34 x 34 + 66 x 66 + 68 x 66
= 34 x 34 + 66 x (66 + 68)
= 34 x 34 + 66 x 134
= 34 x 34 + 66 x 34 + 66 x 100
= 34 x (34 + 66) + 66 x 100
= 34 x 100 + 66 x 100
= (34 + 66) x 100
= 100 x 100
= 10000
\(34^2+66^2+68.66\)
\(=34.34+66.66+68.66\)
\(=34.34+66.\left(68+66\right)\)
\(=34.34+66.134\)
\(=34.34+66.\left(100+34\right)\)
\(=34.34+66.100+66.34\)
\(=34.\left(66+34\right)+66.100\)
\(=34.100+66.100\)
\(=\left(34+66\right).100\)
\(=100^2\)
\(=10000\)
a/ 34^2 + 66^2 + 68 . 66
=342+2.34.66+662
=(34+66)2
=1002
=10000
b/ 74^2 + 24^2 - 48 . 74
=742-2.74.24+242
=(74-24)2
=502
=2500
\(a,34^2+66^2+68.66\)
\(=34^2+2.34.66+66^2\)
\(=\left(34+66\right)^2\)
\(=100^2\)
\(=10000\)
\(b,74^2+24^2-48.74\)
\(=74^2-2.74.24+24^2\)
\(=\left(74-24\right)^2\)
\(=50^2\)
\(=2500\)
a) \(34^2+66^2+68.66\)
\(=34^2+2.34.66+66^2\)
\(=\left(34+66\right)^2\)
\(=100^2=10000\)
b) \(74^2+24^2-48.74\)
\(=74^2-2.74.24+24^2\)
\(=\left(74-24\right)^2\)
\(=50^2=2500\)
A= 1012 = 10201
B= 1092 = 11881
C= 342 + 662 + 68*66 = 342 + 2*34*66 + 662 = (34 + 36)2 =702 = 4900
D=742 + 242 - 48 *74 = 742 - 2*24 *74 + 242 = (74 - 24)2= 502 = 2500
a) \(=34^2+66^2+2.34.66=\left(34+66\right)^2=100^2=10000\)
b) \(=74^2+24^2-2.24.74=\left(74-24\right)^2=2500\)
c) \(=\left(729-728\right)\left(729+728\right)=1.1457=1457\)
d) \(=\left(1001-1\right)\left(1001+1\right)=1000.1002=1002000\)
Chúc bạn học tốt.
( 34^2+66^2+68.66
= 34^2 + 66^2 + 2. 34.66
= ( 34+66)^2
= 100^2 = 10 000
b) 74^2 + 24^2 - 48.74
= 74^2 + 24^2 - 2. 74 . 24
= (74-24)^2 = 50^2 = 2500
a) 34^2 + 66^2 + 68 . 66 = 5580,66
b) 74^2 + 24^2 – 48 . 74 = 6003.26