运用平方差公式分解因式 什么条件下可以用平方差公式进行因式分解

\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f\u4e0d\u80fd\u8fd0\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u5316\u7684\u662f______A\uff0e-a 2 +b 2 \uff1bB-x 2 -y 2 \uff1bC\uff0e 1 4 - x

A\u3001-a 2 +b 2 =\uff08b+a\uff09\uff08b-a\uff09\uff0c\u6545\u672c\u9009\u9879\u9519\u8bef\uff1bB\u3001-x 2 -y 2 \u4e0d\u80fd\u5206\u89e3\u56e0\u5f0f\uff0c\u6545\u672c\u9009\u9879\u6b63\u786e\uff1bC\u3001 1 4 -x 2 =\uff08 1 2 +x\uff09\uff08 1 2 -x\uff09\uff0c\u6545\u672c\u9009\u9879\u9519\u8bef\uff1bD\u300116x 2 -9y 2 =\uff084x+3y\uff09\uff084x-3y\uff09\uff0c\u6545\u672c\u9009\u9879\u9519\u8bef\uff1bE\u3001x 2 -\uff08-y 2 \uff09=x 2 +y 2 \uff0c\u4e0d\u80fd\u5206\u89e3\u56e0\u5f0f\uff0c\u6545\u672c\u9009\u9879\u6b63\u786e\uff1bF\u3001x 2 -\uff08-y\uff09 2 =\uff08x+y\uff09\uff08x-y\uff09\uff0c\u6545\u672c\u9009\u9879\u9519\u8bef\uff1b\u6545\u7b54\u6848\u4e3a\uff1aB\u3001E\uff0e

\u591a\u9879\u5f0f\u662f\u4e8c\u9879\u5f0f,\u4e24\u9879\u90fd\u80fd\u5199\u6210\u5e73\u65b9\u7684\u5f62\u5f0f,\u800c\u4e14\u7b26\u53f7\u76f8\u53cd.

1. x^2-9y^2=(x-3y)(x+3y)

2. 36-25x^2=(6-5x)(6+5x)

3. x^2y-xy^2=xy(x-y)

4. mn^2-m =m(n²-1)=m(n-1)(n+1)

5 2x^3-8x=2x(x²-4)=2x(x-2)(x+2)

6. 2x^3-8x=2x(x²-4)=2x(x-2)(x+2)

7. ax^2-ay^2=a(x²-y²)=a(x-y)(x+y)

8.2x^3y-2xy^3=2xy(x²-y²)=2xy(x-y)(x+y)

1. x^2-9y^2
=(x-3y)(x+3y)

2. 36-25x^2
=(6-5x)(6+5x)

3. x^2y-xy^2
=xy(x-y)

4. mn^2-m
=m(n^2-1)
=m(n+1)(n-1)

5 2x^3-8x
=2x(x^2-4)
=2x(x+2)(x-2)

6. 2x^3-8x
=2x(x^2-4)
=2x(x+2)(x-2)

7. ax^2-ay^2
=a(x^2-y^2)
=a(x+y)(x-y)

8.2x^3y-2xy^3
=2xy(x^2-y^2)
=2xy(x+y)(x-y)

1.(X-3Y)(X+3Y)
2.(6-5X)(6+5X)
3.(X-Y)XY
4.M(N-1)(N+1)
5.6.2X(X-1)(X+1)
7.A(X-Y)(X+Y)
8.2XY(X-Y)(X+Y)

2x3y-ay2

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