Question

разложите на множители
а^3-4а
ах^2-ау^2
3а^2-6аb+3b^2

ax^2+2ax+a

Answer 1

а^3-4а=а(а²-4)=а(а-2)(а+2)
ах^2-ау^2=а(х²-у²)=а(х-у)(х+у)
3а^2-6аb+3b^2=(√3а-√3b)²=(√3a-√3b)(√3a+√3b)
ax^2+2ax+a=а(х²+2х+1)=а(х+1)²=а(х+1)(х+1)

Answer 2

a^3-4a=a(a^2-4)=a(a-2)(a+2)
ax^2-ay^2=a(x^2-y^2)=a(x-y)(x+y)
3a^2-6ab+3b^2=3(a^2-2ab+b^2)=3(a-b)^2
ax^2+2ax+a=a(x^2+2x+1)=a(x+1)^2