Question

разложить на множители:
а)2m^3-18m
б)7m^2+14mn+7n^2
в)6n^3+6m^3
г)16m^4-81n^4
пожалуйста решите)*

Answer 1

a)2m^3-18m=2m(m^2-9)=2m(m-3)(m+3)

 b)7m^2+14mn+7n^2=7(m^2+2mn+n^2)=7(m+n)^2

c)6n^3+6m^3=6(m^3+n^3) =6(m+n)( m^2-mn+n^2)

d)16m^4-81n^4=(4m^2)^2-(9n^2)^2=(4m^2-9n^2)(4m^2+9n^2)

 

Answer 2

$<var>2m^3-18m=2m(m^2-9)=2m(m-3)(m+3)</var>$

 

$<var>7m^2+14mn+7n^2=7(m^2+2mn+n^2)=7(m+n)^2=7(m+n)(m+n)</var>$

 

$<var>6n^3+6m^3=6(n^3+m^3)=6(m+n)(m^2-mn+n^2)</var>$ 

 

$<var>16m^4-81n^4=(4m^2-9n^2)(4m^2+9n^2)=(2m-3n)(2m+3n)(4m^2+9n^2)</var>$