Question

Phân tích các đa thức sau thành nhân tử

1) \(20x^2+7x-6\)

2) \(12x^2-23xy+10y^2\)

3) \(\left(x^4-8\right)^2+36\)

4) \(x^8+x^4+1\)

5) \(a^2\left(b-c\right)+b^2\left(c-a\right)+c^2\left(a-b\right)\)

6) \(a\left(b^2-c^2\right)+b\left(c^2-a^2\right)+c\left(a^2-b^2\right)\)

7) \(ab\left(a+b\right)+bc\left(b+c\right)+ac\left(a+c\right)+3abc\)

8) \(4x^8+1\)

9) \(x^7+x^5-1\)

10) \(x^7+x^5+1\)

11) \(2\left(x^2+5x-2\right)^2-7\left(x^2+5x-2\right)\left(x^2+3\right)+5\left(x^2+3\right)^2\)

giúp mk nha !!! Đang cần gấp

Answer 1

a,\(20x^2+7x-6=20x^2-8x+15x-6\)

\(=\left(20x^2-8x\right)+\left(15x-6\right)=4x.\left(5x-2\right)+3.\left(5x-2\right)\)

\(=\left(5x-2\right).\left(4x+3\right)\)

b,\(12x^2-23xy+10y^2=12x^2-8xy-15xy+10y^2\)

\(=\left(12x^2-8xy\right)-\left(15xy-10y^2\right)\)

\(=4x.\left(3x-2y\right)-5y.\left(3x-2y\right)\)

\(=\left(3x-2y\right).\left(4x-5y\right)\)

Chúc bạn học tốt!!!

Answer 2