Question

36 (x+ 4) ( x2 + 7x + 10) ÷ 9 (x + 4) (vi) a (a + 1) (a + 2) (a + 3) ÷ a (a + 3), Workout the given division.

Answer 1

Answer:

36 (x+ 4) ( x2 + 7x + 10) ÷ 9 (x + 4) (vi) a (a + 1) (a + 2) (a + 3) ÷ a (a + 3), Workout the given division.

$\frac{36(x+ 4)( x2 + 7x + 10)}{9(x + 4)}$

$=36(x^2+7x+10)}{9(1)}$

$=4(x^2 +7x+10)}{1}$

$=4x^2+28x+40$

$\implies\:\boxed{\frac{36(x+ 4)( x2 + 7x + 10)}{9(x + 4)}=4x^2+28x+40}$

$\frac{a(a+1)(a + 2) (a + 3)}{a(a + 3)}$

$=\frac{(a+1)(a + 2)}{1}$

$=a^2+3a+2$

$\implies\boxed{\frac{a(a+1)(a + 2) (a + 3)}{a(a + 3)}=a^2+3a+2}$