-a^3+a^2+2a=?因式分解 16(x-y)^2-9(x+y)^2=( )*( ) (a+b)^3-(a+b)=(
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-a^3+a^2+2a=?因式分解 16(x-y)^2-9(x+y)^2=( )*( ) (a+b)^3-(a+b)=(a+b)*( )*( ) 因式分解
-a^3+a^2+2a
=-a(a^2-a-2)
=-(a-2)(a+1)
16(x-y)^2-9(x+y)^2
=[4(x-y)]^2-[3(x+y)]^2
=[4(x-y )+3(x+y )][4(x-y)-3(x+y)]
=(4x-4y+3x+3y)(4x-4y-3x-3y)
=(7x-y)(x-7y)
(a+b)^3-(a+b)
=(a+b)(a^2-ab+b^2)-(a+b)
=(a+b)(a^2-ab+b^2-1 )
=-a(a^2-a-2)
=-(a-2)(a+1)
16(x-y)^2-9(x+y)^2
=[4(x-y)]^2-[3(x+y)]^2
=[4(x-y )+3(x+y )][4(x-y)-3(x+y)]
=(4x-4y+3x+3y)(4x-4y-3x-3y)
=(7x-y)(x-7y)
(a+b)^3-(a+b)
=(a+b)(a^2-ab+b^2)-(a+b)
=(a+b)(a^2-ab+b^2-1 )
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