How do you simplify the product #(a^2 + a + 1)(a - 1)# and write it in standard form?

1 Answer
Jun 4, 2016

Answer:

#a^3-1#

Explanation:

multiplying a polynomial by a binomial has the same steps as multiplying two binomials. take the first variable and multiply it by the variables, in order, in the second brackets.

#(a^2+a+1)(a-1)#

first multiply #a^2# by #a# and then by #1#. follow suit with the #a# and the #+1#

#a^3 - a^2 + a^2 - a + a - 1#

collect like terms. the #a^2# and the #a# will cancel each other out.

#a^3 - 1#