Use the distributive property to write the products in standard form. a(b + c+1) a ( b + c + 1 )
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the equation:
a(b + c + 1)a(b + c + 1)
Solve using the distributive property.
Solution:
In order to solve the given equation we simply distribute the values of a to the equation.
a(b + c + 1)a(b + c + 1)
= (ab+ ac + a)(ab + ac + a)
In order to simplify the given equation further, we simply use the FOIL method, by which we multiply each term consecutively.
= a^2b^2 + a^2bc + a^2b +a^2bc + a^2c^2 + a^2c + a^2b + a^2c + a^2
= a^2b^2 + a^c^2 + 2a^2bc + 2a^2b + 2a^2c + a^2
Final answer:
= a^2b^2 + a^c^2 + 2a^2bc + 2a^2b + 2a^2c + a^2