Question

Phan tich da thuc thanh nhan tu

1: x² +2xy+y²-x-y-12

2: 4x⁴-32x²+1

3: 3(x⁴+x²+1)_(x²+x+1)²

4: x⁴-8x+63

5: a, x²+7x+12

b, a¹⁰+a⁵+1

Answer 1

1/ \(x^2+2xy+y^2-x-y-12=\left(x+y\right)^2+6\left(x+y\right)+9-7\left(x+y\right)-21\)

\(=\left(x+y+3\right)^2-7\left(x+y+3\right)=\left(x+y+3\right)\left(x+y-4\right)\)

2/ \(4x^4-32x^2+1=\left(4x^4+4x^2+1\right)-36x^2\)

\(=\left(2x^2+1\right)^2-36x^2=\left(2x^2-6x+1\right)\left(2x^2+6x+1\right)\)

3/ \(3\left(x^4+x^2+1\right)-\left(x^2+x+1\right)^2=2x^4-2x^3-2x+2\)

\(=2\left(x-1\right)^2\left(x^2+x+1\right)\)

Còn lại tự làm nhé