Simplify completely quantity 4 x squared minus 7 x plus 3 all over x squared plus 5 x minus 6. quantity 4 x plus 1 over quantity x minus 1 quantity 4 x minus 1 over quantity x plus 6 quantity 4 x plus 3 over quantity x minus 1 quantity 4 x minus 3 over quantity x plus 6

The answer is (4x - 3) / (x + 6)

Step-by-step explanation:

∵ (4x² - 7x + 3) / (x² + 5x - 6)

Factorize the numerator:

4x² - 7x + 3 = (4x - 3) (x - 1)

Factorize the denominator:

x² + 5x - 6 = (x - 1) (x + 6)

∴ (4x - 3) (x - 1) / (x - 1) (x + 6) ⇒ reduce (x - 1) from in up and down

∴ The answer is (4x - 3) / (x + 6) ⇒ the fourth answer