Math, asked by naveen8481, 1 year ago

factorise X + 2 Y power 4 minus 1

Answers

Answered by Anonymous
2
Héy hii....!!!

So, thé answer is... -- How do I factorise: x^2 – y^2 – 2y – 1?

7 ANSWERS



Vishal Chandratreya, former Assistant Engineer at Samsung Semiconductor India (2018)

Answered Jun 22, 2018 · Author has 298answers and 60.8k answer views

It is actually very simple if you notice that the quadratic polynomial in [math]y[/math] is the square of a linear one.

[math]x^2 - y^2 - 2y - 1 = x^2 - (y^2 + 2y + 1)[/math]

[math]\implies x^2 - y^2 - 2y - 1 = x^2 - (y + 1)^2[/math]

[math]\implies x^2 - y^2 - 2y - 1 = [x + (y + 1)][x - (y + 1)][/math]

[math]\implies x^2 - y^2 - 2y - 1 = (x + y + 1)(x - y - 1)[/math]

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