Question

Разложите на множители:
1)m^8-n^10
2)0.16p^4-q^6
3)1.21z^8-225t^14
4)-4+169x^4y^18

Answer 1

$1)m ^{8} -n ^{10} =(m ^{4} ) ^{2} -(n ^{5} )^{2} = \ =(m ^{4} -n ^{5} )(m ^{4} +n ^{5} ) \ \ 2) 0.16p ^{4} -q^{6} =(0.4 p^{2} ) ^{2} - (q^{3} ) ^{2} = \ =(0.4p ^{2} -q ^{3} )(0.4p ^{2} +q ^{3} ) \ \ 3) 1.21z ^{8} -225t ^{14} =(1.1 z^{4} ) ^{2} -(15t ^{7} ) ^{2} = \ =(1.1z ^{4} -15t ^{7} )(1.1z ^{4} +15t ^{7} ) \ \ 4)-4+169 x^{4} y ^{18} =169 x^{4} y ^{18} -4= \ =(13 x^{2} y ^{9} ) ^{2} -2 ^{2} =(13 x^{2} y ^{9} -2)(13 x^{2} y ^{9} +2)$