因式分解p^2(p+q)^2-q^2(p-q)^2 x^2(y-1)+(1-y)因式分解p^2(p+q)^2-q^2(p-q)^2 x^2(y-1)+(1-y)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 03:25:59
因式分解p^2(p+q)^2-q^2(p-q)^2 x^2(y-1)+(1-y)因式分解p^2(p+q)^2-q^2(p-q)^2 x^2(y-1)+(1-y)

因式分解p^2(p+q)^2-q^2(p-q)^2 x^2(y-1)+(1-y)因式分解p^2(p+q)^2-q^2(p-q)^2 x^2(y-1)+(1-y)
因式分解p^2(p+q)^2-q^2(p-q)^2 x^2(y-1)+(1-y)
因式分解p^2(p+q)^2-q^2(p-q)^2 x^2(y-1)+(1-y)

因式分解p^2(p+q)^2-q^2(p-q)^2 x^2(y-1)+(1-y)因式分解p^2(p+q)^2-q^2(p-q)^2 x^2(y-1)+(1-y)
p^2(p+q)^2-q^2(p-q)^2
=[p(p+q)+q(p-q)][p(p+q)-q(p-q)]
=(p^2+2pq-q^2)(p^2+q^2)
x^2(y-1)+(1-y)
=(y-1)(x^2-1)
=(x+1)(x-1)(y-1)