Question

2 задание ?сократить дробь?

Answer 1

=$frac{( a^{2}+2ab+ b^{2})-(ac+bc) }{(ab+ac)( b^{2}- c^{2} )} = frac{(a+b)(a+b)-c(a+b)}{a(b+c)+(b-c)(b+c)} = \ frac{(a+b)(a+b-c)}{(b+c)(a+b-c)} = frac{a+b}{b-c}$

Answer 2

$frac{a ^{2}-ac+2ab+b ^{2} -bc }{ab-c ^{2}+ac+b ^{2} } = frac{a ^{2} +b ^{2} +2ab-ac-bc}{ab+ac+b ^{2} -c ^{2} } = frac{(a+b) ^{2}-c(a+b) }{a(b+c)+(b+c)(b-c)} = frac{(a+b)(a+b-c)}{(b+c)(a+b-c)} = \ \ = frac{a+b}{b+c}$