(1).4x^2+20x+25 (2).x^4+6x^2+9 (3).x^4-18x^2+81 (4).(x-y)^2+2(x-y)w+w^2 多项式因式分解
问题描述:
(1).4x^2+20x+25 (2).x^4+6x^2+9 (3).x^4-18x^2+81 (4).(x-y)^2+2(x-y)w+w^2 多项式因式分解
答
(1) (2x+5)^2
(2) (x^2+3)^2
(3) (x^2-9)^2
(4) (x-y+w)^2
答
(1). 4x^2+20x+25 =(2x+5)^2
(2). x^4+6x^2+9 =(x^2+3)^2
(3). x^4-18x^2+81=(x^2-9)^2=(x+3)^2(x-3)^2
(4).(x-y)^2+2(x-y)w+w^2=(x-y+w)^2
答
(1).4x^2+20x+25=(2x+5)²(2).x^4+6x^2+9=(x²+3)²(3).x^4-18x^2+81 \=(x²-9)²=(x+3)²(x-3)²(4).(x-y)^2+2(x-y)w+w^2 =(x-y+w)²如果本题有什么不明白可以追问,如果满意请...