(4a + 9)(3a - 9)
FOIL:
- Multiply the First terms (4a*3a)
- Multiply the Outer terms (4a*(-9))
- Multiply the Inner terms (9*3a)
- Multiply the Last terms (9*(-9))
- Then add them together
(4a + 9)(3a - 9)
= 4a*3a + 4a*(-9) + 9*3a + 9*(-9)
= 12a2 - 36a + 27a - 81
Combine the two like terms in the middle:
= 12a2 - 9a - 81