Question

Помогите пожалуйста!!!

Answer 1

Решение приложено к снимку

Answer 2

$1) y-100 y^{3} =y(1-100 y^{2} )=y(1-10y)(1+10y) \\ \\ 2)7a ^{2} -14ab+7b ^{2} =( a\sqrt{7} - b\sqrt{7} ) ^{2} \\ \\ 3) 16-y ^{4} =(4-y ^{2} )(4+y ^{2} )=(2-y)(2+y)(4+y ^{2} ) \\ \\ 1)( x^{2} -6)( x^{2} +2)=( x^{2} -2) ^{2} -x \\ \\ x^{4} +2 x^{2} -6 x^{2} -12= x^{4} +4-4 x^{2} -x \\ \\ x^{4} +2 x^{2} -6 x^{2} - x^{4} +4 x^{2} +x=12+4 \\ \\ x=16$


$1) xy ^{2} -x+5-5y ^{2} =x(y ^{2} -1)-5(y ^{2} -1)= \\ \\ =(x-5)(y ^{2} -1)=(x-5)(y-1)(y+1) \\ \\ 2) m ^{8} +27m ^{5} =m ^{5} (m ^{3} +27)=m ^{5} (m ^{3} +3 ^{3} )= \\ \\ =m ^{5} (m+3)(m ^{2} -3m+9)$