**(i) 50x**^{2} – 2(x – 2)^{2}

^{2}– 2(x – 2)

^{2}

**(ii) (x – 2)(x + 2) + 3**

**Answer :**

**(i) 50x**^{2} – 2(x – 2)^{2}

^{2}– 2(x – 2)

^{2}

Take out common in all terms,

2[25x^{2} – (x – 2)^{2}]

2[(5x)^{2} – (x – 2)^{2}]

We know that, a^{2} – b^{2} = (a + b) (a – b)

2[(5x + x – 2) (5x – x + 2)]

2[(6x – 2) (4x + 2)]

2(6x – 2) (4x + 2)

**(ii) (x – 2)(x + 2) + 3**

We know that, a^{2} – b^{2} = (a + b) (a – b)

(x^{2} – 2^{2}) + 3

X^{2} – 4 + 3

X^{2} – 1

Then,

(x + 1) (x – 1)

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