Question 164344
Factor:
{{{9x^2-39x-30}}} First, notice that 3 is a common factor of each of the three terms, so you can factor this.
{{{3(3x^2-13x-10)}}} Now factor the trinomial in parentheses.
{{{highlight(3(3x+2)(x-5))}}}
Factor by grouping:
{{{10x^2-4xy-15xy+6y^2}}} Group the terms as shown below:
{{{(10x^2-4xy)-(15xy-6y^2)}}} Notice the change of sign on the last term! Now look for common factors in the terms of each group.
{{{2x(5x-2y)-3y(5x-2y)}}} Now you can factor the common factors of (5x-2y)
{{{highlight((5x-2y)(2x-3y))}}}