2p^2q-4pq^2-3p+6q,4-x^2+2xy-y^2 数学(分组分解法)分解因式

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2p^2q-4pq^2-3p+6q,4-x^2+2xy-y^2 数学(分组分解法)分解因式

2p^2q-4pq^2-3p+6q,4-x^2+2xy-y^2 数学(分组分解法)分解因式
2p^2q-4pq^2-3p+6q,4-x^2+2xy-y^2 数学(分组分解法)分解因式

2p^2q-4pq^2-3p+6q,4-x^2+2xy-y^2 数学(分组分解法)分解因式
2p^2q-4pq^2-3p+6q
=(2p^2q-4pq^2)-(3p-6q)
=2pq(p-2q)-3(p-2q)
=(p-2q)(2pq-3)
4-x^2+2xy-y^2
=4-(x^2-2xy+y^2)
=4-(x-y)^2
=(2+x-y)(2-x+y)

2p^2q-4pq^2-3p+6q
=2pq(p-2q)-3(p-2q)
=(p-2q)(2pq-3)
4-x^2+2xy-y^2
=4-(x^2-2xy+y^2)
=2²-(x-y)²
=(2+x-y)(2-x+y)