+23254 If you are trying to factor this:
2[ x² - 14x + 49 - y² ]
Separate teh terms as follows:
2[ (x² - 14x + 49) - y² ]
Factor that section:
2[ (x - 7)(x - 7) - y² ]
2[ (x - 7)² - y² ]
Now factor (x - 7)² - y² as the difference of squares:
Since A² - B² = (A + B)(A - B), substituting (x - 7) for A and y for B,
(x - 7)² - y² = [(x - 7) + y][(x - 7) - y] = (x - 7 + y)(x - 7 - y)
2(x - 7 + y)(x - 7 - y)
+23254 If you are trying to factor this:
2[ x² - 14x + 49 - y² ]
Separate teh terms as follows:
2[ (x² - 14x + 49) - y² ]
Factor that section:
2[ (x - 7)(x - 7) - y² ]
2[ (x - 7)² - y² ]
Now factor (x - 7)² - y² as the difference of squares:
Since A² - B² = (A + B)(A - B), substituting (x - 7) for A and y for B,
(x - 7)² - y² = [(x - 7) + y][(x - 7) - y] = (x - 7 + y)(x - 7 - y)
2(x - 7 + y)(x - 7 - y)
