Question

6x²y⁴-12x⁴y²÷2x² I really need help with this one

Answer 1

`\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^(-n) \qquad \qquad a^n\implies \cfrac{1}{a^(-n)} \\\\ -------------------------------`


`\bf \cfrac{6x^2y^4-12x^4y^2}{2x^2}\implies \stackrel{\textit{distributing the denominator}}{\cfrac{6x^2y^4}{2x^2}-\cfrac{12x^4y^2}{2x^2}} \\\\\\ \cfrac{6}{2}\cdot \cfrac{x^2x^(-2)y^4}{1}-\cfrac{12}{2}\cdot \cfrac{x^4x^(-2)y^2}{1}\implies 3\cdot x^(2-2)y^4~~-~~6\cdot x^(4-2)y^2 \\\\\\ 3y^4-6x^2y^2\implies 3y^2(y^2-2x^2)`