下列运算正确的是 ( )
5 a 2 - 4 a 2 = 1
( - a 2 b 3 ) 2 = a 4 b 6
a 9 ÷ a 3 = a 3
( a - 2 b ) 2 = a 2 - 4 b 2
多项式 2 x 3 - 4 x 2 + 2 x 因式分解为 ( )
2 x ( x - 1 ) 2
2 x ( x + 1 ) 2
x ( 2 x - 1 ) 2
x ( 2 x + 1 ) 2
下列运算结果正确的是 ( )
x 2 + x 3 = x 5
( − a − b ) 2 = a 2 + 2 ab + b 2
( 3 x 3 ) 2 = 6 x 6
2 + 3 = 5
已知 10 a = 20 , 100 b = 50 ,则 1 2 a + b + 3 2 的值是 ( )
2
5 2
3
9 2
下列计算正确的是 ( )
3 mn − 2 mn = 1
( m 2 n 3 ) 2 = m 4 n 6
( − m ) 3 ⋅ m = m 4
( m + n ) 2 = m 2 + n 2
计算 ( - a ) 2 ⋅ a 4 的结果是 ( )
a 6
- a 6
a 8
- a 8
计算 a 3 ⋅ ( - a ) 的结果是 ( )
a 2
- a 2
a 4
- a 4
a 3 ⋅ a 3 = 2 a 3
( - 2 a ) 2 = 4 a 2
( a + b ) 2 = a 2 + b 2
( a + 2 ) ( a - 2 ) = a 2 - 2
因式分解: 1 - 4 y 2 = ( )
( 1 - 2 y ) ( 1 + 2 y )
( 2 - y ) ( 2 + y )
( 1 - 2 y ) ( 2 + y )
( 2 - y ) ( 1 + 2 y )
a + a 2 = a 3
( 2 a 2 ) 3 = 2 a 6
a 6 ÷ a 2 = a 3
a 3 ⋅ a 2 = a 5
若 x , y 均为实数, 43 x = 2021 , 47 y = 2021 ,则:
(1) 43 xy ⋅ 47 xy = ( ) x + y ;
(2) 1 x + 1 y = .
因式分解: x 3 y − 4 xy = .
在实数范围内分解因式: a b 2 - 2 a = .
分解因式: x 2 + 2 x + 1 = .
分解因式: x 3 - 4 x = .
因式分解: 4 a 2 b − 4 ab + b = .
因式分解: a x 2 4 + ax + a = .
分解因式: 2 a 3 − 8 a = .
分解因式: 2 x 3 - 8 x = .
因式分解: x 2 - 2 x + 1 = .
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