Question

1-m^2+10mn-25n^2 x^3+3x^2-4x-12 x^2+2x-6y-9y^2因式分解

Answer 1

1-m^2+10mn-25n^2

=1－(m²－10mn＋25n²)

=1－(m－5n)²

=(1＋m－5n)(1－m＋5n)

x^3+3x^2-4x-12

=(x³＋3x²＋2x)－(6x＋12)

=x(x²＋3x＋2)－6(x＋2)

=x(x＋1)(x＋2)－6(x＋2)

=(x＋2)(x²＋x－6)

=(x＋2)(x＋3)(x－2)

x^2+2x-6y-9y^2

=(x²－9y²)＋(2x-6y)

=(x－3y)(x＋3y)＋2(x－3y)

=(x－3y)(x＋3y＋2)