madybrown2006
Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.

Which product should Tomas choose?

(2x + y)(2x2 + 2xy – y2)
(2x + y)(4x2 + 2xy – y2)
(2x + y)(4x2 – 2xy + y2)
(2x + y)(2x2 – 2xy + y2)

Sagot :

[tex]c. \: (2x + y)(4 {x}^{2} - 2xy + {y}^{2} )[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](a + b)( {a}^{2} - ab + {b}^{2} )[/tex]

Substituting the values of "a = 2x" and ''b = y" in the expression, we have

[tex](2x + y)[( 2{x})^{2} - 2xy + {y}^{2} ] \\ = (2x + y)(4 {x}^{2} - 2xy + {y}^{2} )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

abidemiokin

The product that Tomas should choose should be (2x +y)(4x^2 – 2xy + y^2)

Sum of the cube of values

Given the sum of cubes expressd as:

a^3 + b^3 = (a + b)(a^2 – ab + b^2)

Given the following parametrs

a  = 2x

b = y

Substitute this values into the formula

a^3 + b^3 = (2x + y)((2x)^2 – 2xy + y^2)

a^3 + b^3 = (2x +y)(4x^2 – 2xy + y^2)

Hence the product that Tomas should choose should be (2x +y)(4x^2 – 2xy + y^2)

Learn more on sum of cubes here: https://brainly.com/question/26726803

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.