Question

擅长因式分解的进（高分）1 12y(p-q)-3x(q-p) 2 (m+2n)的平方-9(m-2n)的平方 3 x的平方

Answer 1

1 12y(p-q)-3x(q-p)

=12y(p-q)+3x(p-q)

=3(p-q)(4y+x)

2 (m+2n)^2-9(m-2n)^2

=[m+2n+3(m-2n)][m+2n-3(m-2n)]

=(m+2n+3m-6n)(m+2n-3m+6n)

=(4m-4n)(8n-2m)

=8(m-n)(4n-m)

3 x^2-y^2+x^3-y^3

=(x+y)(x-y)+(x-y)(x^2+xy+y^2)

=(x-y)(x+y+x^2+xy+y^2)