Question

1-(a_b)square =(1+a-b)x
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Answer 1

Answer:

To put it simply, we should use the “rainbow expansion method”

(a-b) x (a-b)

Step 1: a x a = a2

Step 2: a x (-b) = -ab

Step 3: -b x a = -ab

Step 4: -b x -b = b2

Thus (a-b) x (a-b) = a2 -ab -ab + b2 = a2 -2ab + b2

Note that I bolded a and b in the first bracket to clearly mark my steps of expansion, but one should note that this clearly doesn’t matter.

Afterwards you should try it out with (a+b)(a-b) and (a+b)(a+b)/(a+b)2 too!

The results are always as follow: (FORMULA MEMORISATION METHOD)

(a+b) x (a+b) = (a+b)2 = a2 + 2ab + b2

(a+b) x (a-b) = a2 – b2.

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