Question

Multiply:
2r^2+r-15 r^2+9r+8
---------- X -----------
r^2+11r+24 2r^2-3r-5

Answer 1

Factor all numerators and denominators first then cancel

Answer 2

for starters: \[(r^2 +11r +24) \]is the same as\[(r+8)(r+3)\] and \[(r^2 +9r +8) \] is the same as \[(r+8)(r+1) \]

Answer 3

\[2r^2+r-15 \]can is also written as \[(2r-5)(r+3)\] and \[2r^2-3r-5\] can be written as \[(r+1)(2r-5)\] through factoring

Answer 4

2r^2+r-15 r^2+9r+8
---------- X -----------
r^2+11r+24 2r^2-3r-5

=(2r-5)(r+3) x (r+1)(r+8)
----------- ---------
(r+3)(r+8) (2r+5)(r-1)

Any equal factors in the top line as the bottom line can be removed
=(2r-5) x (r+1)
----------- ---------
1 (2r+5)(r-1)

= (2r-5)(r+1)
-----------
(2r+5)(r-1)

= (2r^2-3r-5)
-----------
(2r^2+3r -5)

Answer 5

the answer is 1