5x^2-5y^2+x+y分解因式,求详细步骤,谢谢

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5x^2-5y^2+x+y分解因式,求详细步骤,谢谢5x^2-5y^2+x+y分解因式,求详细步骤,谢谢5x^2-5y^2+x+y分解因式,求详细步骤,谢谢5x^2-5y^2+x+y=5(x^2-y^

5x^2-5y^2+x+y分解因式,求详细步骤,谢谢
5x^2-5y^2+x+y分解因式,求详细步骤,谢谢

5x^2-5y^2+x+y分解因式,求详细步骤,谢谢
5x^2-5y^2+x+y
=5(x^2-y^2)+x+y
=5(x+y)(x-y)+(x+y)
=(x+y)[5(x-y)+1]
=(x+y)(5x-5y+1)

5x²-5y²+x+y=5(x²-y²)+(x+y)=5(x+y)(x-y)+(x+y)=(x+y)(5x-5y+1)