Question

What is the answer to 9m^2-66m+21

Answer 1

The expression is given to be:

`9m^2-66m+21`

Step 1: Factorize 3 from each term in the equation

`\Rightarrow3(3m^2-22m+7)`

Step 2: Replace the middle term with -21m and -m

`\Rightarrow3(3m^2-21m-m+7)`

Step 3: Factorize common terms from two pairs in the parenthesis

`\Rightarrow3\lbrack3m(m-7)-1(m-7)\rbrack`

Step 4: Factorize (m - 7) from the expression

`\Rightarrow3(m-7)(3m-1)`

ANSWER

`9m^2-66m+21=3(m-7)(3m-1)`