Question

Разложите на множители : 

1) am² - an²

2)27x² - 12y²

3) -m² + m⁴

4)50x³ - 18x 

Answer 1

a(m-n)(m+n)

3(3-x)(4+y)

-m^2(1-m^2)

2x(25x+9)

Answer 2

1) am^2-an^2= a(m^2-n^2)=a(m-n)(m+n)

2) 27x^2-12y^2=3(9x^2-4y^2)=2(3x-2y)(3x+2y)

3) -m^2+m^4=m^2(m^2-1)=m^2(m-1)(m+1)

4) 50x^3-18x=2x(25x^2-9)=2x(5x-3)(5x+3)