Question

Write the expression in complete factored form. 2n^2(n-2) - a(n-2)

Answer 1

(n-2)(2n² - a)

Explanation:

Given the expression 2n²(n-2) - a(n-2), to write this expression in a complete factor form, simply follow the instruction;

Let's assume the original expression has been broken down into that form in question, if we look at both terms, we will see that n-2 in parenthesis is common to both terms, we can therefore factor out n-2 from both terms as shown;

= 2n²(n-2) - a(n-2)

= n-2(2n² - a)

Hence the complete factor form of the expression is (n-2)(2n² - a) because the expression cannot be simplified any further.