因式分解 1.(x+p)^2-(x+y)^2 2.36(x+y)^2-49(x-y)^2 3.(x^2+x+1)^2-1
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因式分解 1.(x+p)^2-(x+y)^2 2.36(x+y)^2-49(x-y)^2 3.(x^2+x+1)^2-1
因式分解 1.(x+p)^2-(x+y)^2 2.36(x+y)^2-49(x-y)^2 3.(x^2+x+1)^2-1
因式分解 1.(x+p)^2-(x+y)^2 2.36(x+y)^2-49(x-y)^2 3.(x^2+x+1)^2-1
1.(x+p)^2-(x+y)^2
=(x+p+x+y)(x+p-x-y)
=(2x+p+y)(p-y)
2.36(x+y)^2-49(x-y)^2
=[6(x+y)-7(x-y)][6(x+y)+7(x-y)]
=(-x+13y)(13x-y)
=-(x-13y)(13x-y)
3.(x^2+x+1)^2-1
=(x²+x+2)(x²+x)
=x(x+1)(x²+x+2)
1.(x+p)^2-(x+y)^2
=(2x+y+p)(p-y)
2. 36(x+y)^2-49(x-y)^2
=(6x+6y+7x-7y)(6x+6y-7x+7y)
=(13x-y)(13y-x)
3 .(x^2+x+1)^2-1
=(x^2+x+2)(x^2+x)
1. (2x+y+p)(p-y)
2.(13y-x)(13x-y)
3. x(x^2+x+2)(x+1)
1、(2x+p+y)(p-y)
2、-13(x-y)^2
3、x(x^2+x+2)(x+1)
1、平方差公式 (x+p)^2-(x+y)^2=(x+p+x+y)(x+p-x-y)=(2x+p+y)(p-y)
2、平方差公式 36(x+y)^2-49(x-y)^2=(6x+6y)^2-(7x-7y)^2=(6x+6y+7x-7y)(6x+6y-7x+7y)
=(13x-y)(13y-x)
3、平方差公式 (x^2+x+...
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1、平方差公式 (x+p)^2-(x+y)^2=(x+p+x+y)(x+p-x-y)=(2x+p+y)(p-y)
2、平方差公式 36(x+y)^2-49(x-y)^2=(6x+6y)^2-(7x-7y)^2=(6x+6y+7x-7y)(6x+6y-7x+7y)
=(13x-y)(13y-x)
3、平方差公式 (x^2+x+1)^2-1=(x^2+x+1)^2-1^2=(x^2+x+1-1)(x^2+x+1+1)=(x^2+x)(x^2+x+2)
=x(x+1)(x^2+x+2)
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