Question

Factor the expression given below. Write each factor as a polynomial in

Answer 1

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 $\sqrt[3]{1st}$ + $\sqrt[3]{2nd}$

2. The second factor is ( $\sqrt[3]{1st}$ )² - ( $\sqrt[3]{1st}$ ) ( $\sqrt[3]{2nd}$ ) + ( $\sqrt[3]{2nd}$ )²

Ex: The expression a³ + b³ is the sum of 2 cubes

The factorization of a³ + b³ is (a + b)(a² - ab + b²)

∵ The expression is 343x³ + 216y³

∵ $\sqrt[3]{343x^{3}}$ = 7x

∵ $\sqrt[3]{216y^{3}}$ = 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)

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You can learn more about factors in brainly.com/question/10771256

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