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(x-1)^2 +(x+1).(x-1)

1 Answer

6 votes

Explanation:

what do we need to do ? just do the multiplications (and squaring is also a multiplication, just by itself) ?

we could do the exercise in full or just remember the results of

(a-b)² = (a-b)(a-b) = a² - 2ab + b²

and

(a+b)(a-b) = a² - b²

so, we get

x² - 2x + 1 + x² - 1

simplifying this is

2x² - 2x = 2(x² - x) = 2x(x - 1)

User Nick Hutchinson
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