因式分解:(1)、100²-101*99 (2)、6.4²+6.4*7.2+3.6²
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![因式分解:(1)、100²-101*99 (2)、6.4²+6.4*7.2+3.6²](/uploads/image/z/129588-60-8.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%EF%BC%881%EF%BC%89%E3%80%81100%26%23178%3B-101%2A99+%EF%BC%882%EF%BC%89%E3%80%816.4%26%23178%3B%2B6.4%2A7.2%2B3.6%26%23178%3B)
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因式分解:(1)、100²-101*99 (2)、6.4²+6.4*7.2+3.6²
因式分解:(1)、100²-101*99 (2)、6.4²+6.4*7.2+3.6²
因式分解:(1)、100²-101*99 (2)、6.4²+6.4*7.2+3.6²
a^2-(a+1)(a-1)=a^2-a^2+1=1
a^2+a*b*2+b^2=(a+b)^2 =(6.4+3.6)^2=100
(1)
=100²-(100+1)(100-1)
=100²-(100²-1)
=1
(2)
=6.4²+2×3.6×6.4+3.6²
=(6.4+3.6)²
=10²=100
100" - 101 X 99
= 100" - 1" + 1 - 101 X 99
= ( 100 + 1 )( 100 - 1 ) - 101X99 + 1
= 101X99 - 101X99 + 1
= 1
6.4" + 6.4 X 7.2 + 3.6"
= 6.4" + 2 X 6.4 X 3.6 + 3.6"
= ( 6.4 + 3.6 )"
= 10"
= 100