1:
a: =x^2-2xy-5xy+10y^2
=x(x-2y)-5y(x-2y)
=(x-2y)*(x-5y)
b: =5x^2+5xy+xy+y^2
=5x(x+y)+y(x+y)
=(x+y)(5x+y)
c: =x^2-7x+2x-14=(x-7)*(x+2)
d: =x^2+5x-3x-15=(x+5)(x-3)
2:
a: =2(x^2+5x+4)
=2(x+1)(x+4)
b; =x(x^2-9x+14)
=x(x-2)(x-7)
3:
a: =x^4+16x^2+64-16x^2
=(x^2+8)^2-16x^2
=(x^2-4x+8)(x^2+4x+8)
b: =x^4+4x^2y^2+4y^4-4x^2y^2
=(x^2+2y^2)^2-(2xy)^2
=(x^2-2xy+2y^2)(x^2+2xy+2y^2)
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