Question

3x⁴ + 6x³y + 9x²Z, Factorise the expression.

Answer 1

Answer:

x^2+2xy+3z

Step-by-step explanation:

→3x^4+6x^3y+9x^2z=0

→3x^2(x^2+2xy+3z)=0

→x^2+2xy+3z

Answer 2

3x⁴ + 6x³y + 9x²Z = 3x² (x² + 2xy + 3Z)

Step-by-step explanation:

To factorise 3x⁴ + 6x³y + 9x²Z, we need to check what is the common factor between the 3 terms.

We find that 3x² is a common factor. So taking 3x² out, we get

= 3x² (x² + 2xy + 3Z)

There is no further simplification possible.

So we conclude that 3x² and (x² + 2xy + 3Z) are the factors of  3x⁴ + 6x³y + 9x²Z.