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利用因式分解计算:(1)8×7582-2582×8;(2)522-4822562-2442.

题目详情
利用因式分解计算:
(1)8×7582-2582×8;
(2)
522-482
2562-2442
利用因式分解计算:
(1)8×7582-2582×8;
(2)
522-482
2562-2442

22
522-482
2562-2442
522-482
2562-2442
522-4822562-2442522-482522-48222-48222-4822-482828222562-24422562-244262-244262-24422-244242422
▼优质解答
答案和解析
(1)8×75822-25822×8,
=8×(75822-25822),
=8×(758+258)(758-258),
=8×1016×500,
=406400;
(2)
522-482
2562-2442

=
(52-48)(52+48)
(256-244)(256+244)

=
4×100
12×500

=
1
15
522-482
2562-2442
522-4822562-2442522-482522-482522-4822-48222562-24422562-24422562-24422-24422,
=
(52-48)(52+48)
(256-244)(256+244)

=
4×100
12×500

=
1
15
(52-48)(52+48)
(256-244)(256+244)
(52-48)(52+48)(256-244)(256+244)(52-48)(52+48)(52-48)(52+48)(52-48)(52+48)(256-244)(256+244)(256-244)(256+244)(256-244)(256+244),
=
4×100
12×500

=
1
15
4×100
12×500
4×10012×5004×1004×1004×10012×50012×50012×500,
=
1
15
1
15
115111151515.