Question

(3x+1)²-(4x+3) ²​

Answer 1

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Объяснение:

Answer 2

To simplify the expression $(3x + 1)^2 - (4x + 3)^2$, you can use the difference of squares formula, which states that $a^2 - b^2 = (a + b)(a - b)$. In this case, $a = 3x + 1$ and $b = 4x + 3$.

So, applying the difference of squares formula:

$(3x + 1)^2 - (4x + 3)^2 = [(3x + 1) + (4x + 3)][(3x + 1) - (4x + 3)]$

Now, simplify the expressions inside the brackets:

$[(3x + 1) + (4x + 3)][(3x + 1) - (4x + 3)] = (7x + 4)(-1x - 2)$

Now, you can further simplify by distributing the terms:

$(7x + 4)(-1x - 2) = -7x^2 - 14x - 4x - 8$

Combine like terms:

$-7x^2 - 18x - 8$

So, $(3x + 1)^2 - (4x + 3)^2$ simplifies to $-7x^2 - 18x - 8$.