用提公因式法.

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用提公因式法.

用提公因式法.
用提公因式法.
 

用提公因式法.

(x-3)(x+1)
(t-1)(t-7)
(x-4y)(x+2y)

x^2-2x-3=(x^2-2x+1)-1-3
=(x-1)^2-2^2
=(x-1+2)(x-1-2)
=(x+1)(x-3)
t^2-8t+7=(t^2-2*4t+16)-16+7
=(t-4)^2-3^2

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x^2-2x-3=(x^2-2x+1)-1-3
=(x-1)^2-2^2
=(x-1+2)(x-1-2)
=(x+1)(x-3)
t^2-8t+7=(t^2-2*4t+16)-16+7
=(t-4)^2-3^2
=(t-4+3)(t-4-3)
=(t-1)(t-7)
x^2-2xy-8y^2=(x^2-2xy+y^2)-y^2-8y^2
=(x-y)^2-(3y)^2
=(x-y+3y)(x-y-3y)
=(x+2y)(x-4y)

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