3x+4 12. Simplify + x+2 x²+2x 2x+4

asked Jun 20, 2024 9.4k views

3 votes

3x+4
12. Simplify +
x+2
x²+2x
2x+4

8.5k points

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7 votes

$\sf \large (3x + 4)/(x + 2) + \frac{ {x}^(2) + 2x}{2x + 4}$

$\sf \large (3x + 4)/(x + 2) + ( x(x + 2))/(2(x + 2))$

$\sf \large (3x + 4)/(x + 2) + \frac{ x \cancel{(x + 2)}}{2 \cancel{(x + 2)}}$

$\sf \large (3x + 4)/(x + 2) + ( x)/(2)$

$\sf \large (2(3x + 4) + x(x + 2))/(2(x + 2))$

$\sf \large \frac{6x + 8 + {x}^(2) + 2x}{2x + 4}$

$\sf \large \frac{ {x}^(2) + 8x + 8}{2x + 4}$

8.2k points

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