Question

2a^2+11a+12/2a+3 factorise the numerator and simplify

Answer 1

Step-by-step explanation:

$\frac{2 {a}^{2} + 11a + 12 }{2a + 3}$

$\frac{2 {a}^{2} + 8a + 3a + 12 }{2a + 3}$

$\frac{2a(a + 4) + 3(a + 4)}{2a + 3}$

$\frac{(a + 4)(2a + 3)}{2a + 3}$

$a + 4$