Question

Simplify completely quantity 2 x squared plus 16 x plus 30 all over quantity 5 x squared plus 13 x minus 6 .

1. 2 open parentheses x plus 3 close parentheses over quantity 5 x minus 1
2. 2 open parentheses x plus 3 close parentheses over quantity 5 x minus 6
3. 2 open parentheses x plus 5 close parentheses over quantity 5 x minus 2
4. 2 open parentheses x plus 5 close parentheses over quantity 5 x minus 3

Answer 1

• 3. 2 open parentheses x plus 5 close parentheses over quantity 5 x minus 2

• 2(x + 5)/(5x - 2)

Explanation:

2 x squared plus 16 x plus 30 all over quantity 5 x squared plus 13 x minus 6

• (2x² + 16x + 30)/(5x² + 13x -6) =
• 2(x²+ 5x + 3x + 15)/(5x² + 15x - 2x - 6) =
• 2(x + 3)(x + 5)/(x + 3)(5x - 2) =
• 2(x + 5)/(5x - 2)

Correct option is option 3.