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FACTOR THE EXPRESSION GIVEN BELOW. WRITE EACH FACTOR AS A POLYNOMIAL IN DESCENDING ORDER. ENTER EXPONENTS USING THE CARET (^). FOR EXAMPLE, YOU WOULD ENTER x TO THE POWER OF 2 AS x^2.

343x^3 + 216y^3

FACTOR THE EXPRESSION GIVEN BELOW WRITE EACH FACTOR AS A POLYNOMIAL IN DESCENDING ORDER ENTER EXPONENTS USING THE CARET FOR EXAMPLE YOU WOULD ENTER X TO THE POW class=

Sagot :

Each given factor written as a polynomial in descending order is;  (7x + 6y)(49x² - 42xy + 36y²)

How to factorize Polynomials?

We are given the polynomial;

343x³ + 216y³

343x³ + 216y³ is a sum of cubes and factors in general as;

a³ + b³ = (a + b)(a² - ab + b²)

Thus;

343x³ + 216y³ = (7x)³ + (6y)³

= (7x + 6y)((7x)² - 7x(6y) + (6y)² )

= (7x + 6y)(49x² - 42xy + 36y²)

Read more about Polynomial Factorization at; https://brainly.com/question/11434122

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