Tính nhanh:
a) A= 413(413-26)+169
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a) \(413.\left(413-26\right)+169=413^2-2.13.413+13^2=\left(413-13\right)^2=160000\)
b) \(\left(625^2+3\right).\left(25^4-3\right)-5^{16}+10\)
\(=\left(5^8+3\right)\left(5^8-3\right)-5^{16}+10\)
\(=5^{16}-9-5^{16}+10=1\)
c) \(\frac{41^2+39^2+8^2.39}{41^2-39^2}=\frac{\left(41+39\right)^2}{\left(41-39\right)\left(41+39\right)}=\frac{41+39}{41-39}=\frac{80}{2}=40\)
câu b bài 2 thiếu nha e
B1
a, 638 +780 x 5 - 369 : 9 = 4497
b, ( 273 + 485 ) x16 - 483 :3 x4 = 11484
B2
a, 325 x 6 + 6 x 560 + 115 = 5425
B3
a, x = 1020
b, x = 36
B4
26 nha
Bài 1:
\(a,413\left(413-26\right)+169\)
\(=413^2-26.413+13^2\)
\(=413^2-2.413.13+13^2\)
\(=\left(413-13\right)^2\)
\(=400^2\)
\(=160000\)
\(b,x^2+2x+1\)
\(=x^2+2.x.1+1^2\)
\(=\left(x+1\right)^2\)
\(=\left(99+1\right)^2\)
\(=100^2=10000\)
a) 9x2 - 36
= ( 3x)2 - 62
= ( 3x - 6)( 3x + 6)
b) ax - ay - bx + by
= a( x - y) - b( x - y)
= ( x - y)( a - b)
c) y3 - 4y2 + 3y
= y3 - y2 - 3y2 + 3y
= y2( y - 1) - 3y( y - 1)
= ( y - 1)( y2 - 3y)
= y( y - 3)( y - 1)
a)
3. x 13 = 45 − 26 . − 2 5 3. x 13 = 9 13 3. x = 9 x = 3
b)
13 21 − 3 2 . 21 13 + x = 4 13 − 27 42 . 21 13 + x = 4 13 − 27 26 + x = 4 13 x = 4 13 − − 27 26 x = 35 26
a) 217 x 11
= 217 x (10 +1)
= 217 x 10 + 217 x 1
= 2170 + 217 = 2387
217 x 9 = 217 x (10-1)
= 217 x 10 - 217 x 1
= 2170 - 217 = 1953
b) 413 x 21 = 413 x (20 + 1)
= 413 x 20 + 413 x 1 = 8673
413 x 19 = 413 x (20-1)
= 413 x 20 - 413 x 1 = 7847
c) 1234 x 31 = 1234 x (30 +1)
= 1234 x 30+ 1234 x 1
= 37020 + 1234 = 38254
875 x 29 = 875 x (30 -1)
= 875 x 30 - 875 x 1
= 26250 - 875 = 25375
\(\left(413-127+42\right)-\left(413+127-48\right)\)
\(=413-127+42-413-127+48\)
\(=\left(413-413\right)-\left(127+127\right)+\left(42+48\right)\)
\(=-254+90=-164\)
( 413 - 127 + 42 ) - ( 413 + 127 - 48 )
= 413 - 127 + 42 - 413 - 127 + 48
= ( 413 - 413 ) + ( 127 - 127 ) + ( 42 - 48 )
= 0 + 0 + ( -6 )
= -6
A=\(413^2-413.26+13^2=413^2-2.413.13+13^2\)
=> A=\(\left(413-13\right)^2=400^2=160000\)
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