Question

Descompuneti in factori expresiile:
a)x²-4 supra x²-2x
b)x²+10x+25 supra x²-25
c)x²+x-2 supra 2x-2
d)x²+3x-4 supra 2x-2
e)x²-10x supra x-10
f)x(la puterea 5) + x(la puterea 4) supra x²+x
g)2x³-x² supra 2x-1
h) x²-64 supra x²+8x


Va rog ajutorr !!! nu le stiu si am nevoie de ajutor ca dam test din ele!! pls!!

Answer 1

a)(x²-4)/(x²-2x)=(x-2)(x+2)/x(x-2)=(x+2)/x
b)(x²+10x+25)/(x²-25)=(x+5)²/(x-5)(x+5)=(x+5)/(x-5)
c)(x²+x-2)/(2x-2)=(x²+2x-x-2)/(2x-2)=(x+2)(x-1)/2(x-1)=(x+2)/2
d)(x²+3x-4)/(2x-2)=(x²+4x-x-4)/2(x-1)=(x+4)(x-1)/2(x-1)=(x+4)/2
e)(x²-10x)/(x-10)=x(x-10)/(x-10)=x
f)(x⁵ + x⁴) /(x²+x)=x⁴(x + 1) /x(x+1)=x³
g)(2x³-x²)/(2x-1)=x²(2x-1)/(2x-1)=x²
h) (x²-64) /(x²+8x)= (x-8)(x+8) /x(x+8)=(x-8)/x