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a, 5x^2 +5xy - x - y
= 5x ( x+ y ) - (x + y)
= ( 5x - 1)(x + y)
b, 2x^2 + 3x - 5
= 2x^2 - 2x + 5x - 5
= 2x( x - 1) + 5( x - 1)
= ( 2x + 5 )(x- 1 )
c; 16x - 5x^2 - 3
c, = - ( 5x^2 - 16x + 3 )
= - ( 5x^2 - x - 15x + 3 )
= - [ x(5x - 1 ) - 3 (5x - 1) ]
= - ( x- 3)(5x - 1 )
a) x^2 - 5xy +4y^2= x^2 -xy -4xy+4y^2= (x^2-xy) - (4xy - 4y^2)= x(x-y)-4y(x-y)=(x-y)*(x - 4y)
b) x^2 -y^4+9y -x(9+y-y^3= x^2-y^4 +9y-9x-xy+xy^3= (x^2-xy)-(9x-9y)+(xy^3-y^4)=x(x-y)-9(x-y)+y^3(x-y)=(x-y)*(y^3+x-9)
d) 2u^2+2v^2-5uv=(2u^2-4uv)+(2v^2-uv)=2u(u-2v)+v(2v-u)= 2u(u-2v)-v(u-2v)=(u-2v)*(2u-v)
a) xy+3x-7y-21
=x(y+3)-7(x+3)
=(x-7)(y+3)
b)2xy-15-6x-5y
=2x(y-3)-5(-3+y)
=(2x-5)(y-3)
c)2x^2y+2xy^2-2x-2y
=2x(xy-1)+2y(xy-1)
=(2x+2y)(xy-1)
x(x+3)-5x(x-5)-5(x+3)
=(x-5)(x+3)-5x(x-5)
=(x-5)(x+3-5x)
Câu cuối mình bị nhầm dòng cuối phải là (x-5)(x+3+x-5)=(x-5)(2x-2)nha bạn
a) x2 - 6x +9 = (x-3)2
b) x2 - 64 = (x-8)(x+8)
c) 2xy+3z+6y+xz = (2xy+xz)=(3z+6y)= x(2y+z) + 3(2y+z)=(2y+z)(x+3)
d) 5x2+5xy-x-y = 5x(x+y)-(x+y) = (x+y)(5x-1)
e) x2 - xy+ x-y = x(x-y)+(x-y) = (x-y)(x+1)
CHÚC BN HỌC TỐT
Bạn tải ứng dụng PhotoMath về nha. Ứng dụng này sẽ giải toán số chi tiết
a) \(x^3-4x^2-12x+27\)
\(=\left(x^3+27\right)-\left(4x^2+12x\right)\)
\(=\left(x+3\right)\left(x^2-3x+9\right)-4x\left(x+3\right)\)
\(=\left(x+3\right)\left(x^2-7x+9\right)\)
b) \(x^3-3x^2-4x+12\)
\(=x^2\left(x-3\right)-4\left(x-3\right)\)
\(=\left(x^2-4\right)\left(x-3\right)\)
\(=\left(x+2\right)\left(x-2\right)\left(x-3\right)\)
a) \(9x^2+6xy+y^2=\left(3x+y\right)^2\)
b) \(6x-9-x^2=-\left(x-3\right)^2\)
a) x( x + 2 )( x + 3 )( x + 5 ) + 5
= [ x( x + 5 ) ][ ( x + 2 )( x + 3 ) ] + 5
= ( x2 + 5x )( x2 + 5x + 6 ) + 5 (1)
Đặt t = x2 + 5x
(1) <=> t( t + 6 ) + 5
= t2 + 6t + 5
= t2 + t + 5t + 5
= t( t + 1 ) + 5( t + 1 )
= ( t + 1 )( t + 5 )
= ( x2 + 5x + 1 )( x2 + 5x + 5 )
b) 6x2 - 5xy + y2 = 6x2 - 3xy - 2xy + y2 = 3x( 2x - y ) - y( 2x - y ) = ( 2x - y )( 3x - y )
a,\(x\left(x+2\right)\left(x+3\right)\left(x+5\right)+5\)
\(=x\left(x+5\right)\left(x+2\right)\left(x+3\right)+5\)
\(=\left(x^2+5x\right)\left(x^2+5x+6\right)+5\)(*)
Đặt \(a=x^2+5x\)ta đc:
(*)=\(a\left(a+6\right)+5\)
\(=a^2+6a+5\)
\(=a^2+a+5a+5\)
\(=a\left(a+1\right)+5\left(a+1\right)\)
\(=\left(a+5\right)\left(a+1\right)\)
\(=\left(x^2+5x+5\right)\left(x^2+5x+1\right)\)
b,\(6x^2-3xy-2xy+y^2\)
\(=3x\left(2x-y\right)-y\left(2x-y\right)\)
\(=\left(3x-y\right)\left(2x-y\right)\)