The question is to simplify:
. . .(x<sup>2</sup> - 8xy + 15y<sup>2</sup>)/(x<sup>2</sup> - 9y<sup>2</sup>) × (2x + 6y)/(4x - 20y)
I already have all the work done. I just want to know if 2x+6y can be factored into 2(x+3y).
Work:
. . .[(x - 5y)(x - 3y)] / [(x + 3y)(x - 3y)] × (2x + 6y) / [4(x - 5y)]
Cancelled: (x-5y)(x-5y) , (x-3y)(x-3y)
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Edited by stapel -- Reason for edit: clarifying multi-line formatting
. . .(x<sup>2</sup> - 8xy + 15y<sup>2</sup>)/(x<sup>2</sup> - 9y<sup>2</sup>) × (2x + 6y)/(4x - 20y)
I already have all the work done. I just want to know if 2x+6y can be factored into 2(x+3y).
Work:
. . .[(x - 5y)(x - 3y)] / [(x + 3y)(x - 3y)] × (2x + 6y) / [4(x - 5y)]
Cancelled: (x-5y)(x-5y) , (x-3y)(x-3y)
___________________
Edited by stapel -- Reason for edit: clarifying multi-line formatting