Bài 10:
a) ab + ac
= a . ( b + c )
b) ab - ac + ad
= a . ( b - c + d )
c) ax - bx - cx + dx
= x ( a - b - c + d )
d) a( b + c ) - d ( b + c )
= ( b + c ) ( a - d )
e) ac - ad + bc - bd
= a ( c - d ) + b ( c - d )
= ( a + b ) ( c - d )
f) ax + by + bx + ay
= x ( a + b ) + y ( a + b )
= ( x + y ) ( a + b )
Bài 11 :
a) ( a - b + c ) - ( a + c ) = -b
Ta có VT = ( a - b + c ) - ( a + c ) = a - b + c - a - c = -b = VP
=> Đpcm .
b) ( a + b ) - ( b - a ) + c = 2a + c
Ta có VT = ( a + b ) - ( b - a ) + c = a + b - b + a + c = 2a + c = VP
=> Đpcm .
c) - ( a + b - c ) + ( a - b - c ) = -2b
Ta có : VT = - ( a + b - c ) + ( a - b - c ) = -a - b + c + a -b - c = -2b = VP
=> Đpcm .
d) a ( b + c ) - a ( b + d ) = a ( c - d )
Ta có : VT = a ( b + c ) - a ( b + d ) = ab + ac - ab + ad = a ( b + c - b + d ) = a ( c - d ) = VP
=> Đpcm .