作业帮把下列各式分解因式(要有过程的.)1-10题
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 17:20:09
把下列各式分解因式(要有过程的.)1-10题
把下列各式分解因式(要有过程的.)
1-10题
把下列各式分解因式(要有过程的.)1-10题
注意：( a - b )" = a" - 2ab + b" = b" - 2ab + a" = ( b - a )"
或者：( a - b )" = [ (-1)( b - a ) ]" = ( b - a )"
1
a(x + y) + b(x + y)
= ( a + b )( x + y )
2
6(p + q)" - 2(p + q)
= 2( p + q )[ 3( p + q ) - 1 ]
= 2( p + q )( 3p + 3q - 1 )
3
2(x - y)" - x(x - y)
= ( x - y )[ 2( x - y ) - x ]
= ( x - y )( 2x - 2y - x )
= ( x - y )( x - 2y )
4
m(a - b) - n(b - a)
= ( a - b )( m - n )
5
3(y - x)" + 2(x - y)
= 3( x - y )" + 2( x - y )
= ( x - y )( 3x - 3y + 2 )
6
m(m - n)" - n(n - m)"
= m( m - n )" - n( m - n )"
= ( m - n )( m - n )"
= ( m - n )^3
7
mn(m - n) - m(n - m)"
= nm( m - n ) - m( m - n )"
= m( m - n )[ n - ( m - n ) ]
= m( m - n )( n - m + n )
= m( m - n )( 2n - m )
8
2x(x + y)" - (x + y)^3
= [ 2x - ( x + y ) ]( x + y )"
= ( 2x - x - y )( x + y )"
= ( x - y )( x + y )"
9
p(a" + b") + q(a" + b")
= ( a" + b" )( p + q )
10
2a(y - z) - 3b(y - z)
= ( 2a - 3b )( y - z )