Question

Descompuneti in factori
a)x la puterea2 y La puterea2-2xy La puterea 3
b)x(x-y)+2y(x-y)
c)ax+ay+bx+by
d)x la puterea2 y La puterea2-81x La puterea2
e) x La puterea2-10x+25
f)x la puterea 4-16y la puterea 4

Answer 1

a)x²y²-2xy³ =xy²(x-2y)
b)x(x-y)+2y(x-y)=(x-y)(x+2y)
c)ax+ay+bx+by=a(x+y)+b(x+y)=(x+y)(a+b)
d)x²y²-81x² =x²(y²-81)=x²(y-9)(y+9)
e) x²-10x+25=(x-5)²
f)x⁴-16y⁴=(x²-4y²)(x²+4y²)=(x-2y)(x+2y)(x²+4y²)