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\(a,x^2-xy+9x-9y\)
\(=x\left(x-y\right)+9\left(x-y\right)\)
\(=\left(x+9\right)\left(x-y\right)\)
a ) \(x^3z+x^2yz-x^2z^2-xyz^2=\left(x^3z-x^2z^2\right)+\left(x^2yz-xyz^2\right)\)
\(=\left(x-z\right)\left(x^2z+xyz\right)\)
\(=xz\left(x-z\right)\left(x+y\right)\)
b ) \(p^{m+2}.q-p^{m+1}q^3-p^2q^{n+1}+pq^{n+3}\)
\(=p^{m+1}q\left(p-q^2\right)-pq^{n+1}\left(p-q^2\right)\)
\(=\left(p-q^2\right)\left(p^{m+1}q-pq^{n+1}\right)\)
\(=pq\left(p-q^2\right)\left(p^m-q^n\right)\)
`@` `\text {Ans}`
`\downarrow`
`a,`
`3x + 6xy + 3y - 3z`
`= 3(x + 2y + y - z)`
`b,`
`x+ xy - xz - xyz`
`= x(1 + y)*(1-z)`
a: 3x^2+6xy+3y^2-3z^2
=3(x^2+2xy+y^2-z^2)
=3[(x+y)^2-z^2]
=3(x+y+z)(x+y-z)
b: x+xy-xz-xyz
=x(y+1)-xz(y+1)
=(y+1)*x*(1-z)
\(a,x^2yz-x^3y^3z+xyz^2\)
\(=xyz\left(x-x^2y^2+z\right)\)
\(b,4x^3+24x^2-12xy^2\)
\(=4\left(x^3+6x^2-3xy^2\right)\)
\(c,15a^{m+2}b-45a^mb\)
\(=15a^m.a^2b-45a^mb\)
\(=15a^mb\left(a^2-3\right)\)
\(d,a^2-b^2+4bc-4c^2\)
\(=a^2-\left(b^2-4bc+4c^2\right)\)
\(=a^2-\left(b-2c\right)^2\)
\(=\left(a-b+2c\right)\left(a+b-2c\right)\)
a) \(x^2yz-x^3y^3z+xyz^2\)
\(=xyz\left(x-x^2y^2+z\right)\)
b) \(4x^3+24x^2-12xy^2\)
\(=4x\left(x^2+6x-3y^2\right)\)
c) \(15a^{m+2}.b-45a^m.b\)
\(=15.\left(a^m.a^2-3a^m.b\right)\)
\(=15.a^m.\left(a^2-3b\right)\)
d) \(a^2-b^2+4bc-4c^2\)
\(=a^2-\left(b^2-4bc+4c^2\right)\)
\(=a^2-\left[\left(b^2-2bc+c^2\right)-2bc+3c^2\right]\)
...... ;)))))))
a: \(=\left(x+2-y\right)\left(x+2+y\right)\)
c: \(=\left(x-y\right)^2\)
a/ x^3z+xyz-x^3-xyz^2
=x3z-xyz2-x3+xyz
=xz.(x2-xyz)-x(x2-xyz)
=(x2-xyz)(xz-x)
=x(x-yz)x(z-1)
=x2(x-yz)(z-1)
b/ x^2-axy-bxy+aby^2
=x(x-ay)-by(x-ay)
=(x-ay)(x-by)
c/ abx^2+a^2xy+aby^2+b^2xy
=ax(bx+ay)+by(ay+bx)
=(ay+bx)(ax+by)
a) \(x^2yz+4zyx+4yz\)
\(=yz\left(x^2+4x+4\right)\)
\(=yz\left(x+2\right)^2\)
b) \(5x^4-3x^3y-45x^2y^2+27xy^3\)
\(=x\left(5x^3-3x^2y-45xy^2+27y^3\right)\)
Bài 3:
a: =>(2x-7)(x-2)=0
=>x=7/2 hoặc x=2
b: =>(x-1)(x+2)=0
=>x=1 hoặc x=-2
d: =>2x+3=0
hay x=-3/2
a) x^2yz - x^3y^3z + xyz^2
=xyz(x-x2y2+z)
b) 4x^3 + 24x^2 - 12xy^2
= 4(x3+6x2-3xy2)
c) x^2( m + n) - 3y^2 (m + n)
=(m+5)(x2-3y2)
d) 4x^2(x - y) + 9y^2( y - x)
= 4x2(x-y)-9y2(x-y)
= (x-y)(4x2-9y2)
e) x^2(a - b) + 2( b - a)
= x2(a-b)-2(a-b)
= (a-b)(x2-2)
g) 50x^2(x - y)^2 - 8y^2(y - x)^2
= 50x2(x-y)2+8y2(x-y)2
= 2(x-y)2(25x2+4y2)
f)10x^2( a - 2b)^2 - (x^2 + 2)(2b - a)^2
= 10x2(a-2b)2+(x2-2)(a-2b)2
= (a-2b)2(10+x2-2)
= (a-2b)2(8+x2)
h) 15am+nb - 45amb( m thuộc N*)
= 15am.15anb - 45amb
= 15amb(15an-3)
Thanks^^