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julia-pushkina [17]
3 years ago
13

Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cube

s, 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?
A) (2x + y)(2x2 + 2xy – y2)
B) (2x + y)(4x2 + 2xy – y2)
C) (2x + y)(4x2 – 2xy + y2)
D) (2x + y)(2x2 – 2xy + y2)
Mathematics
2 answers:
kvasek [131]3 years ago
6 0

Answer:

C

Step-by-step explanation:

Tomas learned that

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

If a=2x,\ b=y, then

a^3+b^3\\ \\=(2x)^3+y^3\\ \\=((2x)+y)((2x)^2-(2x)y+y^2)\\ \\=(2x+y)(4x^2-2xy+y^2)

Artist 52 [7]3 years ago
5 0

Answer:

its C on edg

Step-by-step explanation:

follow my ifunny "dankmemehistory"

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