因式分解 1.ax方-ay方 2.(a+b)x方-a-b 3.x的4次方-1 4.(x+a)方-(x+b)方

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因式分解 1.ax方-ay方 2.(a+b)x方-a-b 3.x的4次方-1 4.(x+a)方-(x+b)方
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因式分解 1.ax方-ay方 2.(a+b)x方-a-b 3.x的4次方-1 4.(x+a)方-(x+b)方
因式分解 1.ax方-ay方 2.(a+b)x方-a-b 3.x的4次方-1 4.(x+a)方-(x+b)方

因式分解 1.ax方-ay方 2.(a+b)x方-a-b 3.x的4次方-1 4.(x+a)方-(x+b)方
1.ax方-ay方
=a(x²-y²)
=a(x+y)(x-y)
2.(a+b)x方-a-b
=(a+b)x²-(a+b)
=(a+b)(x²-1)
=(a+b)(x+1)(x-1)
3.x的4次方-1
=(x²+1)(x²-1)
=(x²+1)(x+1)(x-1)
4.(x+a)方-(x+b)方
=[(x+a)+(x+b)][(x+a)-(x+b)]
=(2x+a+b)(a-b)

1 a(x+y)(x-y)
2 (a+b)(x+1)(x-1
3 (x+1)(x-1)(xFANG+1
4 (2x+a+b)(a-b)

1)ax^2-ay^2=a(x^2-y^2)=a(x-y)(x+y)
2) (a+b)x^2-a-b=(a+b)x^2-(a+b)=(a+b)(x^2-1)=(a+b)(x-1)(x+1)
3) x^4-=(x^2+1)(x^2-1)=(x^2+1)(x+1)(x-1)
4) (x+a)^2-(x+b)^2=[(x+a)+(x+b)][(x+a)-(x+b)]=(2x+a+b)(a-b)