Question

(3x + 4)2 – (3x – 1)(3x + 1) = 41​

Answer 1

Ответ:

ответ в фото

Пошаговое объяснение:

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Answer 2

To solve the given equation, let's first expand the expressions:

(3x + 4)^2 = (3x + 4)(3x + 4) = 9x^2 + 24x + 16

(3x - 1)(3x + 1) = 9x^2 - 1

Now, substitute these expressions back into the original equation:

(3x + 4)^2 - (3x - 1)(3x + 1) = 9x^2 + 24x + 16 - (9x^2 - 1) = 41

Now, simplify the equation:

9x^2 + 24x + 16 - 9x^2 + 1 = 41

Combine like terms:

24x + 17 = 41

Now, isolate the term with x:

24x = 41 - 17

24x = 24

Finally, solve for x:

x = 24 / 24

x = 1

So, the solution to the equation is x = 1.