Question

ajutatima va rog a)20ax+20ay-bx-by=; b)x³y-xy³= ; c)xy²-2xy+x= ; d)x la a 5y+2xla a 4y+x³y= ; e)4a²x+12abx+9b²x= ; f)(x+y)²-8(x+y)+16= ; g) a³+a²-4a-4= va rog cu rezolvarea completa multumesc

Answer 1

 a)20ax+20ay-bx-by=20a(x+y)-b(x+y)=(x+y)(20a-b)
 b)x³y-xy³=xy(x²-y²) =xy(x-y)(x+y)
 c)xy²-2xy+x= x(y²-2y+1)= x(y-1)² 
 d)x⁵y+2x⁴y+x³y=x³y(x²+2x+1)=x³y(x+1)²
 e)4a²x+12abx+9b²x= x(4a²+12ab+9b²)=x(2a+3b)² 
 f)(x+y)²-8(x+y)+16=(x+y-4)²
 g) a³+a²-4a-4=a²(a+1)-4(a+1)=(a+1)(a²-4)=(a+1)(a-2)(a+2)

Answer 2

20ax+20ay-bx-by=20a(x+y)-b(x+y)=(20a-b) (x+y)
x³y-xy³=xy(x²-y²)=xy(x-y)9x+y)
xy²-2xy+x=x(y²2y+1)=x(y-1)²
Xla5y+2xla4y+x³y=x³y(xla2y+2xla y+1)=xla 3Y(xlay+1)²
4a²x+12abx+9b²x=x(4a²+12ab+9b)²=x(2a+3b)²
(x+y)²-8(x+y)+16=[(x+y)-4]²
a³+a²-4a-4=a²(a+1)-4(a+1)=(a²-4)(a+1)=(a²-2²)(a+1)=(a-2)(a+2)(a+1)
 Se folosesc formulele de calcul prescurtat, pe care sper ca le stii