Question

Преобразуйте в многочлен выражение (2a-3b+4c)2

Answer 1

 (2a-3b+4c)2=4а-6в+8с

Answer 2

                                                     Решение:

 

 

4a^2+16c^2+9b^2+16ac-24bc-12ab.

Answer 3

Converting the Expression to a Polynomial

To convert the expression *(2a-3b+4c)2* into a polynomial, we can use the formula *(a-b)2 = a^2 - 2ab + b^2*. Applying this formula to the given expression, we get:

(2a-3b+4c)2 = (2a)^2 - 2*(2a)*(3b) + (3b)^2 + 2*(2a)*(4c) - 2*(3b)*(4c) + (4c)^2

This simplifies to:

4a^2 - 12ab + 9b^2 + 8ac - 24bc + 16c^2 This polynomial represents the expansion of the given expression *(2a-3b+4c)2*.

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