Question

Phân tích đa thức thành phân tử:

a)A=5(x-y)+ax-ay

b)B=a(x+y)-4x-4y

c)C=xz+yz-5(x+y)

d)D=a(x-y)+bx-by

e)E=x(x+y)-5x-5y

f)F=x²-x-y²-y

g)G=x²-xy+x-y

Answer 1

a) \(A=5\left(x-y\right)+ax-ay=\left(a+5\right)\left(x-y\right)\)

b) \(B=a\left(x+y\right)-4x-4y=\left(x+y\right)\left(a-4\right)\)

c) \(C=xz+yz-5\left(x+y\right)=\left(x+y\right)\left(z-5\right)\)

d) \(D=a\left(x-y\right)+bx-by=\left(a+b\right)\left(x-y\right)\)

e) \(E=x\left(x+y\right)-5x-5y=\left(x-5\right)\left(x+y\right)\)

f) \(F=x^2-x-y^2-y=\left(x-y\right)\left(x+y\right)-\left(x+y\right)=\left(x+y\right)\left(x-y-1\right)\)

g) \(G=x^2-xy+x-y=x\left(x-y\right)+x-y=\left(x+1\right)\left(x-y\right)\)

Answer 2

A = 5(x - y) + ax - ay = 5(x - y) + a(x - y) = (a + 5)(x - y)

B = a(x + y) - 4x - 4y = a(x + y) - 4(x + y) = (a - 4)(x + y)

C = xz + yz - 5(x + y) = z(x + y) - 5(x + y) = (z - 5)(x + y)

D = a(x - y) + bx - by = a(x - y) + b(x - y) = (a + b)(x - y)

E = x(x + y) - 5x - 5y = x(x + y) - 5(x + y) = (x - 5)(x + y)

F = x² - x - y² - y = (x² - y²) - (x + y) = (x² - xy + xy - y²) - (x + y) = [x(x - y) + y(x - y)] - (x + y) = (x - y)(x + y) - (x + y) = (x + y)(x - y - 1)

G = x² - xy + x - y = x(x - y) + (x - y) = (x + 1)(x - y)                                                 

Answer 3

A = 5( x - y ) + ax - ay

= 5( x - y ) + a( x - y )

= ( x - y )( 5 + a )

B = a( x + y ) - 4x - 4y

= a( x + y ) - 4( x + y )

= ( x + y )( a - 4 )

C = xz + yz - 5( x + y )

= z( x + y ) - 5( x + y )

= ( x + y )( z - 5 )

D = a( x - y ) + bx - by

= a( x - y ) + b( x - y )

= ( x - y )( a + b )

E = x( x + y ) - 5x - 5y

= x( x + y ) - 5( x + y )

= ( x + y )( x - 5 )

F = x² - x - y² - y

= ( x² - y² ) - ( x + y )

= ( x - y )( x + y ) - ( x + y )

= ( x + y )( x - y - 1 )

G = x² - xy + x - y

= x( x - y ) + ( x - y )

= ( x - y )( x + 1 )

Answer 4

        Bài làm :

A = 5( x - y ) + ax - ay

= 5( x - y ) + a( x - y )

= ( x - y )( 5 + a )

B = a( x + y ) - 4x - 4y

= a( x + y ) - 4( x + y )

= ( x + y )( a - 4 )

C = xz + yz - 5( x + y )

= z( x + y ) - 5( x + y )

= ( x + y )( z - 5 )

D = a( x - y ) + bx - by

= a( x - y ) + b( x - y )

= ( x - y )( a + b )

E = x( x + y ) - 5x - 5y

= x( x + y ) - 5( x + y )

= ( x + y )( x - 5 )

F = x² - x - y² - y

= ( x² - y² ) - ( x + y )

= ( x - y )( x + y ) - ( x + y )

= ( x + y )( x - y - 1 )

G = x² - xy + x - y

= x( x - y ) + ( x - y )

= ( x - y )( x + 1 )