Question

Упростите выражение (1 – 3х)(1 – 4х + х²) + (3х – 1)(1 – 5х + х²) + 3х²

Answer 1

$(1 - 3x)(1 - 4x + x^2) + (3x - 1)(1 - 5x + x^2) + 3x^2$$1-4x+x^2-3x+12x^2-3x^3+3x-12x^2+3x^3-1+5x-x^2+3x^2$$=x$

Answer 2

=(1-3x)(1-4x+x²)-(1-3x)(1-5x+x²)+3x²=
=(1-3x)(1-4x+x²-1+5x-x²)+3x²=
=(1-3x)*x+3x²=x-3x²+3x²=x