Factorise the following using the Difference of Two Squares or Perfect Squares rule: a) (2x-2)^2 - (x+4)^2 b) (3x+4) (3x-4)
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Answer:
Step-by-step explanation:
Notice that A, B, and C constitute the vertices of a right angle triangle, with the right angle at the vertex A.
If we count the number of squares separating B and A (one of the legs of the right angle triangle) we find 8 units.
If we count the number of squares separating C from A (the other leg of the right angle triangle), we get: 3 units.
Then, we apply the Pythagorean theorem to find that length of the triangle's hypotenuse which is the segment BC: