Question

e="Expand $(a + 2)(3a^2 + 12)(a - 2).$" alt="Expand $(a + 2)(3a^2 + 12)(a - 2).$" align="absmiddle" class="latex-formula">

Answer 1

Answer:

3$a^{4}$ - 48

Step-by-step explanation:

Given

(a + 2)(3a² + 12)(a - 2)

= (a + 2)(a - 2)(3a² + 12) ← expand the first pair of parenthesis using FOIL

=(a² - 4)(3a² + 12) ← expand using FOIL

= 3$a^{4}$ + 12a² - 12a² - 48 ← collect like terms

= 3$a^{4}$ - 48