a)x^3-2x^2y+xy^2-9x
b) (x+y)^2-(x-y)^2
c) (3x+1)^2-(x+1)^2
d) 25^2-15^2
e) x^2-x-y^2-y
h) x^2-2xy+y^2-z^2
g) 5x-5y+ax-ay
m) a^3-a^3x-ay+xy
a)x^3-2x^2y+xy^2-9x
b) (x+y)^2-(x-y)^2
c) (3x+1)^2-(x+1)^2
d) 25^2-15^2
e) x^2-x-y^2-y
h) x^2-2xy+y^2-z^2
g) 5x-5y+ax-ay
m) a^3-a^3x-ay+xy
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`a)x³-2x²y+xy²-9x`
`=x(x²-2xy+y²-9)`
`=x[(x²-2xy+y²)-9]`
`=x[(x-y)²-3²]`
`=x(x-y+3)(x-y-3)`
`b)(x+y)²-(x-y)²`
`=(x+y+x-y)(x+y-x+y)`
`=2x.2y`
`=4xy`
`c)(3x+1)²-(x+1)²`
`=(3x+1+x+1)(3x+1-x-1)`
`=2x(4x+2)`
`=4x(2x+1)`
`d)25²-15²`
`=(25+15)(25-15)`
`=40.10`
`=400`
`e)x²-x-y²-y`
`=(x²-y²)-(x+y)`
`=(x+y)(x-y)-(x+y)`
`=(x+y)(x-y-1)`
`h)x²-2xy+y²-z²`
`=(x²-2xy+y²)-z²`
`=(x-y)²-z²`
`=(x-y+z)(x-y-z)`
`g)5x-5y+ax-ay`
`=(5x-5y)+(ax-ay)`
`=5(x-y)+a(x-y)`
`=(x-y)(5+a)`