把下列各式因式分解:(1)8y4-2y2;(2)4(2p+3q)2-(3p-q)2;(3)-(m-n)2+1;(4)36m2(a+b)2-

2025-05-10 18:30:11
推荐回答(1个)
回答1:

(1)8y4-2y2
=2y2(4y2-1)
=2y2(2y-1)(2y+1);

(2)4(2p+3q)2-(3p-q)2
=[2(2p+3q)+3p-q][2(2p+3q)-(3p-q)]
=(7p+5q)(p+7q);

(3)-(m-n)2+1=(1+m-n)(1-m+n);

(4)36m2(a+b)2-25m2(a-b)2
=m2[6(a+b)+5(a-b)][6(a+b)-5(a-b)]
=m2(11a+b)(a+11b).