Question

phan tich da thuc thanh nhan tu

a)x^4+x^2y^2+y^4

b)x^3+3x-4

c)x^2+9x+8

d)x^2+x-42

e)y^2-13y+12

f)x^2-x-30

g)2x^2+xy-y^2

h)y^2-y-12

i)x^2+x-2

j)x^3+3x^2-2

k)x^3-6x^2+16

l)x^3+3x+4

m)x^4+6x^3-12x^2-8x

Answer 1

a. x⁴ + x²y² + y⁴ = (x⁴ + 2x²y² + y⁴) - x²y²

= (x² + y²)² – (xy)²

= [(x² + y²) + xy] [(x² + y²) – xy]

= (x² + xy + y²)(x² –xy + y²)

Answer 2

Answer 3

h, \(y^2-y-12\)

\(=y^2-4x+3y-12\)

\(=\left(y-4\right)\left(y+3\right)\)

\(i,x^2+x-2\)

\(=x^2+2x-x-2\)

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

\(j,x^3+3x^2-2\)

\(=x^3+2x^2+x^2-2x+2x-2\)

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

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