Toán Lớp 8: Phân tích đa thức thành nhân tử
a) 5x-5xy
b) 6x+3y
c) x^2-6x+9-y^2
d x^2+2x-y^2+1
e) x^2-9^2+4x+4
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Toán Lớp 8: Phân tích đa thức thành nhân tử
a) 5x-5xy
b) 6x+3y
c) x^2-6x+9-y^2
d x^2+2x-y^2+1
e) x^2-9^2+4x+4
Comments ( 2 )
a) 5x – 5xy
=5x(1 – y)
b)6x+3y
=3(2x+y)
c)x² – 6x + 9 – y²
=(x-3)² – y²
=(x-3-y)(x-3+y)
d)x² + 2x – y² + 1
=x²+2x+1 – y²
=(x+1)² – y²
=(x+1-y)(x+1+y)
e)x²-9² + 4x+ 4
=x² + 4x + 4 – 9²
=(x+2)² – 9²
=(x+2-9)(x+2+9)
=(x-7)(x+11)
a)
5x-5xy
=5x.1-5x.y
=5x.(1-y)
$\\$
b)
6x+3y
=3.2x+3.y
=3.(2x+y)
$\\$
c)
x^2-6x+9-y^2
=(x^2-6x+9)-y^2
=(x^2-2.3.x+3^2)-y^2
=(x-3)^2-y^2
=(x-3-y).(x-3+y)
$\\$
d)
x^2+2x-y^2+1
=(x^2+2x+1)-y^2
=(x+1)^2-y^2
=(x+1-y).(x+1+y)
$\\$
e)
x^2-9^2+4x+4
=(x^2+4x+4)-9^2
=(x^2+2)^2-9^2
=(x+2-9).(x+2+9)
=(x-7).(x+11)