Question

5x² -5y²-x-y

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Answer 1

5x² - 5y² - x - y

<=> 5(x² - y²) - (x + y

<=> 5(x - y)(x + y) - (x + y)

<=> [5( x - y) - 1](x + y)

Answer 2

\(5x^2-5y^2-x-y\)

\(\left[\left(\sqrt{5}x\right)^2-2.\sqrt{5}x.\frac{1}{2.\sqrt{5}}+\left(\frac{1}{2.\sqrt{5}}\right)^2\right]-\left[\left(\sqrt{5}y\right)^2+2.\sqrt{5}y.\frac{1}{2.\sqrt{5}}+\left(\frac{1}{2.\sqrt{5}}\right)^2\right]\)

\(=\left(\sqrt{5}x-\frac{1}{2.\sqrt{5}}\right)^2-\left(\sqrt{5}y+\frac{1}{2.\sqrt{5}}\right)^2\)

\(=\left(\sqrt{5}x-2.\frac{1}{2.\sqrt{5}}-\sqrt{5}y\right)\left(\sqrt{5}x-\sqrt{5}y\right)\)

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