计算① (5+3x)² ②(-2x-5)² ③(2x+y-3)² ④(x+3y)²
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计算① (5+3x)² ②(-2x-5)² ③(2x+y-3)² ④(x+3y)²(x-3y)²
![计算① (5+3x)² ②(-2x-5)² ③(2x+y-3)² ④(x+3y)²](/uploads/image/z/4275552-48-2.jpg?t=%E8%AE%A1%E7%AE%97%E2%91%A0+%EF%BC%885%2B3x%EF%BC%89%26%23178%3B+%E2%91%A1%EF%BC%88-2x-5%EF%BC%89%26%23178%3B+%E2%91%A2%EF%BC%882x%2By-3%EF%BC%89%26%23178%3B+%E2%91%A3%EF%BC%88x%2B3y%EF%BC%89%26%23178)
1、原式=25+30x+9x^2
2、原式=4x^2+20x+25
3、原式=4x^2+4xy-12x+y^2-6y+9
4、原式=x^4-6x^3y+9x^2y^2+6x^3y-36x^2y^2+54xy^3+9x^2y^2-54xy^2+81y^4
=x^4+81y^4-18x^2y^2
=(x^2-9y^2)^2
2、原式=4x^2+20x+25
3、原式=4x^2+4xy-12x+y^2-6y+9
4、原式=x^4-6x^3y+9x^2y^2+6x^3y-36x^2y^2+54xy^3+9x^2y^2-54xy^2+81y^4
=x^4+81y^4-18x^2y^2
=(x^2-9y^2)^2
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