Question

Can someone please solve this and show work? Directions - Factor completely.

8a^4 +27ab^3

Answer 1

\[a(8a ^{3} + 27b ^{3})\]

\[a((2a)^{3} + (3b)^{3})\]

\[a(2a + 3b)((2a)^{2} - (2a)(3b) + (3b)^{2})\]

Answer 2

first look to see what can be pulled out... a looks good at first.

then try to make it into something you can use special products with...

by putting parentheses around the parts you can treat the 2a and the 3b as the sum of cubes...