Question

Factor the polynomial 54c3d4 + 9c4d2

Answer 1

54c^3d^4 + 9c^4d^2
9c^3d^2(6d^2 + c)

Answer 2

Answer: $9c^3d^2(6d^2+c)$

Step-by-step explanation:

Given expression : $54c^3d^4+9c^4d^2$

We can write the above expression as

$(6\times9)c^3d^{(2+2)}+9c^{(3+1)}d^2$

$=(6\times9)c^3d^2d^2+9c^3c^1d^2$

We can see the greatest common factor of both the terms = $9c^3d^2$

Taking the greatest common factor outside , we get

$9c^3d^2(6d^2+c)$

Hence, the factorize form of given expression is given by:-

$54c^3d^4+9c^4d^2=9c^3d^2(6d^2+c)$