Question

x(x²+xy)      x^6+x^5+x+1        2x²+10x          simplifique
 -----------    ------------------       ------------------
y(xy+y²)      8x^5+8                ax+5a+bx+5b


quando coloco ^ quero dizer elevado
EX: 6^5 quer dizer 6 elevado a 5

Answer 1

Olá GJSO,


$\mathsf{\dfrac{x\cdot(x^2+xy)}{y\cdot(xy+y^2)}\Rightarrow \dfrac{x^3+x^2y}{xy^2+y^3+}\Rightarrow \dfrac{x^2\cdot(x+y)}{y^2\cdot(x+y)}\Rightarrow \boxed{\mathsf{\dfrac{x^2}{y^2}}}}\\\\\\\\\mathsf{\dfrac{x^6+x^5+x+1}{8x^5+8}\Rightarrow \dfrac{x\cdot(x^5+1)+(x^5+1)}{8\cdot(x^5+1)}\Rightarrow \dfrac{(x^5+1)\cdot(x+1)}{8\cdot(x^5+1)}}\\\\=\\\\\boxed{\mathsf{\dfrac{x+1}{8}}}$

$\mathsf{\dfrac{2x^2+10x}{ax+5a+bx+5b}\Rightarrow \dfrac{2x\cdot(x+5)}{a\cdot(x+5)+b\cdot(x+5)}\Rightarrow \dfrac{2x\cdot(x+5)}{(x+5)\cdot(a+b)}}\\\\=\\\\\boxed{\mathsf{\dfrac{2x}{a+b}}}$

Dúvidas? comente