①4x²-y²+4x+1 ②(x+2)(x+4)+1 ③x的四次方-3x²-4
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①4x²-y²+4x+1 ②(x+2)(x+4)+1 ③x的四次方-3x²-4
![①4x²-y²+4x+1 ②(x+2)(x+4)+1 ③x的四次方-3x²-4](/uploads/image/z/267036-60-6.jpg?t=%E2%91%A04x%26%23178%3B-y%26%23178%3B%2B4x%2B1+%E2%91%A1%EF%BC%88x%2B2%EF%BC%89%EF%BC%88x%2B4%EF%BC%89%2B1+%E2%91%A2x%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9-3x%26%23178%3B-4)
:①4x²-y²+4x+1
=4x²+4x+1-y²
=(2x+1)^2-y^2
=(2x+1+y)(2x+1-y)
②(x+2)(x+4)+1
=x^2+6x+8+1
=x^2+6x+9
=(x+3)^2
③x的四次方-3x²-4
=(x^2-4)(x^2+1)
=(x+2)(x-2)(x^2+1)
再问: 麻烦了,再问道,计算(2x+3y)²(2x-3y)²
再答: (2x+3y)²(2x-3y)² =[(2x+3y)(2x-3y)]^2 =(4x^2-9y^2)^2 =16x^4-72x^2y^2+81y^4
=4x²+4x+1-y²
=(2x+1)^2-y^2
=(2x+1+y)(2x+1-y)
②(x+2)(x+4)+1
=x^2+6x+8+1
=x^2+6x+9
=(x+3)^2
③x的四次方-3x²-4
=(x^2-4)(x^2+1)
=(x+2)(x-2)(x^2+1)
再问: 麻烦了,再问道,计算(2x+3y)²(2x-3y)²
再答: (2x+3y)²(2x-3y)² =[(2x+3y)(2x-3y)]^2 =(4x^2-9y^2)^2 =16x^4-72x^2y^2+81y^4
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