Multiplying and Dividing Polynomials

Calculate $$\left(2x\right)\times\left(15x\right)$$  

Calculate $$\left(3ab\right)\times\left(6ab^2\right)$$   

Calculate $$\left(6x\right)\times\left(12x^2\right)$$  

Calculate $$\left(-8x^2\right)\times\left(20x^3\right)$$  

Calculate $$\left(4x^2y\right)\times\left(7xy^2\right)$$  

Calculate   $$\left(-2x^3y^2\right)\times\left(-9x^4y^7\right)$$   

Calculate   $$\left(-9x^3y\right)\times\left(3xy^4z\right)$$    

Calculate   $$\left(\sqrt[]{2}\cdot x^4\right)\cdot\left(\sqrt[]{8}\cdot x^3\right)$$    

Calculate   $$\left(\sqrt[]{3}\cdot x^4y^2\right)\cdot\left(\sqrt[]{12}\cdot x^3y\right)$$    

If we multiply a 3rd degree monomial by a 4th degree monomial, the resulting monomial would be

Calculate $$(5𝑥)\cdot(5𝑥^2+2𝑦)$$  

Calculate $$(2𝑥)\cdot(3𝑥-4𝑦)$$  

Calculate $$(3a^2b-7ab^2)\cdot(2a^2b^2)$$  

Determine the monomial that multiplied by $$3a^2b$$  results $$12a^3bc$$  

Calculate $$\frac{30x^7}{6x^3}$$    

Calculate $$\frac{72x^4y^5z^6}{-9x^3y^3z^3}$$    

Calculate $$\frac{24x^3+9x^{ }}{3x}$$    

Calculate $$\frac{16x^5-40x^9}{4x^2}$$    

Calculate $$\frac{27x^4y^2-18x^3y^3+9x^2y}{3xy}$$    

What is the polynomial that represents the area of the orange region?