1.若多项式a²+(k-1)ab+9b²能运用完全平方公式进行因式分解,则实数k=___7_______
(a+3b)²
=a²+6ab+9b²
k-1=6
k=7
2.在启手斗纯实数范围内因式分解x的四次方-4=________
x^4-4
=(x²)²-2²
=(x²-2)(x²+2)
=(x-√2)(x+√2)(x²+2)
3.分解因式x的三次平方y-2x²y²+xy的三次方悄销嫌=__________
x³y-2x²y²+xy³
=xy(x²-2xy+y²)
=xy(x-y)²
1.(a+3b)^2 推激桥凯出k-1=6 k=7
2. .x^4-4
=(x²)²-2²
=(x²消闭-2)(x²+2)
=(x-√2)(x+√2)(x²明唤+2)
3.x³y-2x²y²+xy³
=xy(x²-2xy+y²)
=xy(x-y)²
1,6ab+1;
2,(根号x +根号2)(根号x -根号2)(x 2+2);
3,x y (x ^2-2x y +1)
4
(x2+2)(x+根号2)(x-根号2)
7
(x²+2)(x+根号2)(x-根号2)
xy(x—y)²