作业帮帮忙用提取公因式法解以下一元二次方程.
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/23 12:46:38
帮忙用提取公因式法解以下一元二次方程.
① x^3+9+3x^2+3x ② -6x^2+7x+5 ③x^2-(a+b)xy+aby^2 ④2y^2-4y-6
⑤ b^4-2b^2-8 ⑥-13ab^2x^6-39a^3b^2x^5
① x^3+9+3x^2+3x ② -6x^2+7x+5 ③x^2-(a+b)xy+aby^2 ④2y^2-4y-6
⑤ b^4-2b^2-8 ⑥-13ab^2x^6-39a^3b^2x^5
① x^3+9+3x^2+3x=x²(x+3)+3(x+3)=(x+3)(x²+3)
② -6x^2+7x+5=-(6x²-7x-5)=(3x-5)(x+1)
③x^2-(a+b)xy+aby^2 =(x-ay)(x-by)
④2y^2-4y-6=2(y²-2y-3)=2(y+1)(y-3)
⑤ b^4-2b^2-8=(b²-4)(b²+2)=(b-2)(b+2)(b²+2)
⑥-13ab^2x^6-39a^3b^2x^5=-13ab²x^5(x-3a²)
② -6x^2+7x+5=-(6x²-7x-5)=(3x-5)(x+1)
③x^2-(a+b)xy+aby^2 =(x-ay)(x-by)
④2y^2-4y-6=2(y²-2y-3)=2(y+1)(y-3)
⑤ b^4-2b^2-8=(b²-4)(b²+2)=(b-2)(b+2)(b²+2)
⑥-13ab^2x^6-39a^3b^2x^5=-13ab²x^5(x-3a²)