В решении.
Объяснение:
разложите на множители
1) a⁶+a⁴-3a²-3 =
= (a⁶+a⁴)-(3a²+3) =
= а⁴(а²+1)-3(а²+1) =
=(а²+1)(а⁴-3).
2) 10ab-2a-5b²+b =
= (10ab-2a)-(5b²-b) =
=2а(5b-1)-b(5b-1) =
= (5b-1)(2a-b).
3) 2x³-3x²y-4x+6y =
= (2х³-4х)-(3х²у-6у) =
=2х(х²-2)-3у(х²-2) =
=(х²-2)(2х-3у).
4) x²y-x+xy²-y =
= (х²у+ху²)-(х+у) =
=ху(х+у)-(х+у) =
=(х+у)(ху-1).
5) am²-an-bm²+cn-cm²+bn =
= (am²-an)-(bm²-bn)-(cm²-cn) =
=a(m²-n)-b(m²-n)-c(m²-n) =
=(m²-n)(a-b-c).
В решении.
Объяснение:
разложите на множители
1) a⁶+a⁴-3a²-3 =
= (a⁶+a⁴)-(3a²+3) =
= а⁴(а²+1)-3(а²+1) =
=(а²+1)(а⁴-3).
2) 10ab-2a-5b²+b =
= (10ab-2a)-(5b²-b) =
=2а(5b-1)-b(5b-1) =
= (5b-1)(2a-b).
3) 2x³-3x²y-4x+6y =
= (2х³-4х)-(3х²у-6у) =
=2х(х²-2)-3у(х²-2) =
=(х²-2)(2х-3у).
4) x²y-x+xy²-y =
= (х²у+ху²)-(х+у) =
=ху(х+у)-(х+у) =
=(х+у)(ху-1).
5) am²-an-bm²+cn-cm²+bn =
= (am²-an)-(bm²-bn)-(cm²-cn) =
=a(m²-n)-b(m²-n)-c(m²-n) =
=(m²-n)(a-b-c).