Question

Сократите дробь 1) 15x²y^6/9x³y⁴ 2) b²+10b+25/5b+25 3) 4-y²/y²-4y+4

Answer 1

$1) \frac{ 15x^{2} y}{9 x^{3} y^{4} }= \frac{5}{3xy^{3} }$

$2) \frac{ b^{2}+10b+25 }{5b+25}= \frac{ (b+5)^{2} }{5(b+5)}= \frac{b+5}{5}$

$3) \frac{4- y^{2} }{ y^{2} -4y+4}= \frac{(2-y)(2+y)}{4-4y+ y^{2} } = \frac{(2-y)(2+y)}{( 2-y)^{2} } = \frac{2+y}{2-y}$