Factor the expression given below. Write each factor as a polynomial indescending order.343x^3 + 216y^3

The factorization of the expression of 43x³ + 216y³ is(7x + 6y)(49x² - 42xy + 36y²)Step-by-step explanation:The sum of two cubes has two factors:1. The first factor is [tex]\sqrt[3]{1st}[/tex] + [tex]\sqrt[3]{2nd}[/tex]2. The second factor is ( [tex]\sqrt[3]{1st}[/tex] )² - ( [tex]\sqrt[3]{1st}[/tex] ) ( [tex]\sqrt[3]{2nd}[/tex] ) + ( [tex]\sqrt[3]{2nd}[/tex] )²Ex: The expression a³ + b³ is the sum of 2 cubesThe factorization of a³ + b³ is (a + b)(a² - ab + b²)∵ The expression is 343x³ + 216y³∵ [tex]\sqrt[3]{343x^{3}}[/tex] = 7x∵ [tex]\sqrt[3]{216y^{3}}[/tex] = 6y∴ The first factor is (7x + 6y)∵ (7x)² = 49x²∵ (7x)(6y) = 42xy∵ (6y)² = 36y²∴ The second factor is (49x² - 42xy + 36y²)∴ The factorization of 43x³ + 216y³ is (7x + 6y)(49x² - 42xy + 36y²)The factorization of the expression of 43x³ + 216y³ is(7x + 6y)(49x² - 42xy + 36y²)Learn more:You can learn more about factors in brainly.com/question/10771256#LearnwithBrainly