因式分解:(a-2)(a-1)+7a

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因式分解:(a-2)(a-1)+7a
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因式分解:(a-2)(a-1)+7a
因式分解:(a-2)(a-1)+7a

因式分解:(a-2)(a-1)+7a
( a - 2 )( a - 1 ) + 7a
= a" - 2a - a + 2 + 7a
= a" + 4a + 2
= a" + 4a + 4 - 2
= ( a + 2 )" - (√2)"
= ( a + 2 + √2 )( a + 2 - √2 )

(a-2)(a-1)+7a
=a²-3a+2+7a
=a²+4a+2
=(a²+4a+4)-2
=(a+2)²-2
=(a+2+√2)(a+2-√2)