Posted by parul on Tuesday, May 29, 2012 at 10:02pm.
8a^3+b^3+12a^2 b+6ab^2
Factor into a cube using the identity:
(x+y)^3 = x^3+3x^2y+3xy^2+y^3
a)8a^3+b^3+12a^2 b+6ab^2.
can be factorized into (2a+b)^3
for b)27-125a^3-135a+225a^2.
note the terms 27 and -125a^3 are perfect cubes, which gives you the hints
27=3^3, -125a^3=(-5a)^3
27a^3-1/216-9a^2/2+a/4.
again, 27a^3=(3a)^3, and 1/216=(1/6)^3
d)x^3-1/x63-3x+3/x.
is probably a typo, should read:
d)x^3-1/x^3-3x+3/x.
Again, use -1/x^3=(-1/x)^3 and x^3
now use the identity.
Related Questions
Algebra - (9a^3b^4-12a^2b^5+6ab^7)/(6a^2b^3)
Calculus; Limits - Evaluate limit, x -> a, [(x + 4a)^2 - 25a^2] / [x - a...
math - the volume of a rectangular solid is given by expressions given below.in ...
math - the volume of a rectangular solid is given by expressions given below.in...
math - the volume of a rectangular solid is given by expressions given below.in...
algebra - write (27a^-3)^(-2/3) in simplest form. solve log(6x+11)=2 please and ...
math - A rectangular solid has a base with length 6 cm and width 5 cm. If the ...
math - I HAVE TWO QUESTIONS: I HAVE TO MULTIPLY AND SIMPLIFY AND I HAVE NO CLUE ...
geometry - The volume of 2 similar solids are 27 ft3 and 216 ft3. The surface ...
algebra - Can someone please help me with these problems? Write (27a^-3)^-2/3 in...
For Further Reading
