(x-2y)^2(x+2y)^2 (a-2b+3)(a+2b-3)以上利用乘法公式计算 下面分解因式1.-4a^2+24a-36 2.(x+2)(x+4)+1 3.4(a+b)^2-9(a-b)^2 4.x^2(x-y)+2x(x-y)-(y-x) 5.(x^2+4)^2-16x^2 6.(a+b)^2+4(a+b+1)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/29 02:20:28
![(x-2y)^2(x+2y)^2 (a-2b+3)(a+2b-3)以上利用乘法公式计算 下面分解因式1.-4a^2+24a-36 2.(x+2)(x+4)+1 3.4(a+b)^2-9(a-b)^2 4.x^2(x-y)+2x(x-y)-(y-x) 5.(x^2+4)^2-16x^2 6.(a+b)^2+4(a+b+1)](/uploads/image/z/8581550-14-0.jpg?t=%EF%BC%88x-2y%EF%BC%89%5E2%EF%BC%88x%2B2y%EF%BC%89%5E2+%EF%BC%88a-2b%2B3%EF%BC%89%EF%BC%88a%2B2b-3%EF%BC%89%E4%BB%A5%E4%B8%8A%E5%88%A9%E7%94%A8%E4%B9%98%E6%B3%95%E5%85%AC%E5%BC%8F%E8%AE%A1%E7%AE%97+%E4%B8%8B%E9%9D%A2%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F1.-4a%5E2%2B24a-36+2.%EF%BC%88x%2B2%EF%BC%89%EF%BC%88x%2B4%EF%BC%89%2B1+3.4%EF%BC%88a%2Bb%EF%BC%89%5E2-9%EF%BC%88a-b%EF%BC%89%5E2+4.x%5E2%EF%BC%88x-y%EF%BC%89%2B2x%EF%BC%88x-y%EF%BC%89-%EF%BC%88y-x%EF%BC%89+5.%EF%BC%88x%5E2%2B4%EF%BC%89%5E2-16x%5E2+6.%EF%BC%88a%2Bb%EF%BC%89%5E2%2B4%EF%BC%88a%2Bb%2B1%EF%BC%89)
(x-2y)^2(x+2y)^2 (a-2b+3)(a+2b-3)以上利用乘法公式计算 下面分解因式1.-4a^2+24a-36 2.(x+2)(x+4)+1 3.4(a+b)^2-9(a-b)^2 4.x^2(x-y)+2x(x-y)-(y-x) 5.(x^2+4)^2-16x^2 6.(a+b)^2+4(a+b+1)
(x-2y)^2(x+2y)^2 (a-2b+3)(a+2b-3)
以上利用乘法公式计算 下面分解因式1.-4a^2+24a-36 2.(x+2)(x+4)+1 3.4(a+b)^2-9(a-b)^2 4.x^2(x-y)+2x(x-y)-(y-x) 5.(x^2+4)^2-16x^2 6.(a+b)^2+4(a+b+1)
(x-2y)^2(x+2y)^2 (a-2b+3)(a+2b-3)以上利用乘法公式计算 下面分解因式1.-4a^2+24a-36 2.(x+2)(x+4)+1 3.4(a+b)^2-9(a-b)^2 4.x^2(x-y)+2x(x-y)-(y-x) 5.(x^2+4)^2-16x^2 6.(a+b)^2+4(a+b+1)
(x-2y)^2(x+2y)^2
=[(x-2y)(x+2y)]^2
=(x^2-4y^2)^2
=x^4-8x^2y^2+16y^4
(a-2b+3)(a+2b-3)
=[a-(2b-3)][a+(2b-3)]
=a²-(2b-3)²
=a²-4b²+12b-9
1.-4a^2+24a-36
=-4(a^2-6a+9)
=-4(a-3)^2
2.(x+2)(x+4)+1
=x^2+6x+8+1
=(x+3)^2
3.4(a+b)^2-9(a-b)^2
=[2(a+b)+3(a-b)][2(a+b)-3(a-b)]
=(5a-b)(-a+5b)
=-(5a-b)(a-5b)
4.x^2(x-y)+2x(x-y)-(y-x)
=x^2(x-y)+2x(x-y)+(x-y)
=(x-y)(x^2+2x+1)
=(x-y)(x+1)^2
5.(x^2+4)^2-16x^2
=(x^2+4x+4)(x^2-4x+4)
=(x+2)^2(x-2)^2
6.(a+b)^2+4(a+b+1)
=(a+b)^2+4(a+b)+4
=(a+b+2)^2
自己开动脑筋