factor the following expression.\n$9uv^{4}y^{3}-30u^{6}v^{6}$
factor the following expression.\n$9uv^{4}y^{3}-30u^{6}v^{6}$
Answer
Explanation:
Step1: Find the GCF of coefficients
The GCF of 9 and 30 is 3.
Step2: Find the GCF of variables
For (u), the lowest - power is (u). For (v), the lowest - power is (v^{4}). So the GCF of the variables is (uv^{4}).
Step3: Factor out the GCF
[ \begin{align*} 9uv^{4}y^{3}-30u^{6}v^{6}&=3uv^{4}(3y^{3}- 10u^{5}v^{2}) \end{align*} ]
Answer:
(3uv^{4}(3y^{3}-10u^{5}v^{2}))