How do you multiply #(z+8)^2#?

1 Answer
Jim G.
Mar 9, 2017

#z^2+16z+64#

Explanation:

Each term in the second bracket must be multiplied by each term in the first bracket.

Since #(z+8)^2=(z+8)(z+8)#

#rArr(color(red)(z+8))(z+8)#

#=color(red)(z)(z+8)color(red)(+8)(z+8)#

distribute the brackets.

#=z^2+8z+8z+64#

collect like terms.

#=z^2+16z+64#

Related questions
See all questions in Multiplication of Polynomials by Binomials
Impact of this question
1579 views around the world
You can reuse this answer
Creative Commons License