If a square has a side of (10x - 6) cm, then the area of the square (in cm2) is:
100x2- 120x + 36
The area of a square of side a is \(a^2\), and \((a - b)^2 = a^2 - 2ab + b^2\).
Here the side is (10x – 6) cm, so area = \((10x - 6)^2 = (10x)^2 - 2(10x)(6) + 6^2\).
So the area = \(100x^2 - 120x + 36\) cm2.
Check: put x = 1; the side is 10 – 6 = 4 cm and the area is 16 cm2, while 100 – 120 + 36 = 16. The expression gives the same value.
Hence, 100x2- 120x + 36.
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