Помогите пожалуйста! [latex] \frac{5a^{2} +10ab +5b^{2} }{15a ^{2}-15b^{2} } = \frac{a+b}{3(a-b)} [/latex]

[latex] \frac{5a^2+10ab+5b^2}{15a^2-15b^2}= \frac{a+b}{3(a-b)} [/latex] [latex] \frac{5(a^2+2ab+b^2)}{15(a^2-b^2)} = \frac{a+b}{3(a-b)} [/latex] [latex] \frac{(a+b)^2}{3(a+b)(a-b)} = \frac{a+b}{3(a-b)} [/latex] [latex] \frac{a+b}{3(a-b)} = \frac{a+b}{3(a-b)} [/latex] [latex]a+b=a+b[/latex] [latex]a-a+b-b=0[/latex] [latex]0=0[/latex]