Question

Phân tích thành nhân tử
1,a⁴ + a³b + a + b

2,x³ + 2x² - 2x - 1

3,4x(x-3y) + 12y(3y-x)

4,(x²-8) + 36

5,(x + 2) + (x + 3) + (x + 4) + (x + 5) - 24

6,x² - 2xy + y² + 3x - 3y -10 

Answer 1

1,a⁴ + a³b + a + b

=a³(a+b)+(a+b)

=(a+b)(a³+1)

=(a+b)(a+1)(a²-a+1)

2,x³ + 2x² - 2x - 1

=(x³-1)+(2x²-2x)

=(x-1)(x²+x+1)+2x(x-1)

=(x-1)(x²+x+1+2x)

=(x-1)(x²+3x+1)

 

3,4x(x-3y) + 12y(3y-x)

=-4x(3y-x)+12y(3y-x)

=(3y-x)(-4x+12y)

 

4,(x²-8) + 36

=x²-8-36+72

=(x²-6²)+64

=(x-6)(x+6)+64

 

5,(x + 2) + (x + 3) + (x + 4) + (x + 5) - 24

=x + 2 + x + 3 + x + 4 + x + 5 -24

=4x-10

 

 

6,x² - 2xy + y² + 3x - 3y -10 

 =(x-y)²+3(x-y)-10

=(x-y)(x-y+3)-10

Answer 2

câu 4,5,6 bạn làm sai rồi!