The coordinates of the vertices of △DEF are D (1, 2) , E (2, 0) , and F (−1, 0) . The coordinates of the vertices of △D′E′F′ are D′(2, 1) , E′(0, 0) , and F′ (0, 3) . What is the sequence of transformations that maps △DEF to △D′E′F′ ? Drag and drop the answers into the boxes to correctly complete the statement. A sequence of transformations that maps △DEF to △D′E′F′ is a Response area followed by a Response area.

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step-by-step explanation:

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step-by-step explanation:

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answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)