4x^2+12xy+7y^2
=4（x^2+3xy)+7y^2
=4(x+3y/2)^2-4*9/4y^2+7y^2
=4(x+3y/2)^2-2y^2
=(2x+3y+√2y）*(2x+3y-√2y）
因式分解4x^2+12xy+7y^2
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4x^2+12xy+7y^2
=4（x^2+3xy)+7y^2
=4(x+3y/2)^2-4*9/4y^2+7y^2
=4(x+3y/2)^2-2y^2
=(2x+3y+√2y）*(2x+3y-√2y）