Question
Factorise the following:$25(x - y)^2 - 49(c - d)^2$
✓
Answer
$25(x - y)^2 - 49(c - d)^2$
$= [5(x - y)]^2 - [7(c - )]^2$
$= [5(x - y) - 7(c - d)][5(x - y) + 7(c - d)]$
$= (5x - 5y - 7c + 7d)(5x - 5y + 7c - 7d).$
$= [5(x - y)]^2 - [7(c - )]^2$
$= [5(x - y) - 7(c - d)][5(x - y) + 7(c - d)]$
$= (5x - 5y - 7c + 7d)(5x - 5y + 7c - 7d).$
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