Question

simplificati raportul algebric ,astfel incit sa obtineti un raport algebric ireductibil:
a)$\frac{3(x+2)}{ x^{2} +4x+4}$
b)$\frac{4a^{2}-4b^{2} }{2(b+a)^{2} }$
c)$\frac{y^{2}- x^{2} }{ x^{2} -yx}$
d)$\frac{4 x^{2} -4bx+b^{2} }{0,25b^{2} - x^{2} }$

Answer 1

a)=3(x+2)/(x+2)²= simplificam cu x+2
=3/(x+2)

b)=4(a²-b²)/2(a+b)²=
=[2(a+b)(a-b)]/(a+b)²=simplificam cu a+b
=2(a-b)/(a+b)

c)=[(x-y)(x+y)]/x(x-y)=simplificam cu x-y
=(x+y)/x

d)=(2x-b)²/(25/100b²-x²)=
=(2x-b)²/(b²/4-x²)
=(2x-b)²/(b²-4x²)=
=(2x-b)²/(-1)(4x²-b²)
=(2x-b)²/(-1)(2x-b)(2x+b)=simplificam cu 2x-b
=-(2x-b)/(2x+b)