+2446 49x8−16y14 can be written as a difference of squares.
| 49x8−16y14⇒(7x4)2−(4y7)2 | This proves that this expression can be written as a difference of squares. Remember that a difference of squares can be factored using the following rule: a2−b2=(a+b)(a−b) |
| a2−b2=(a+b)(a−b)(7x4)2−(4y7)2=(7x4+4y7)(7x4−4y7) | Notice how the rule and this particular expression go hand in hand. I introduced colors to ease understanding. At this point, no more can be done. |
