**(i) (x + 4) ^{2} – 5xy -20y – 6y^{2}**

**(ii) (x ^{2} – 2x^{2}) – 23(x^{2} – 2x) + 120**

**Answer :**

**(i) (x + 4)**^{2} – 5xy -20y – 6y^{2}

^{2}– 5xy -20y – 6y

^{2}

Above terms can be written as,

(x + 4)^{2} – 5y(x + 4) – 6y^{2}

(x + 4)^{2} – 6y(x + 4) + y(x + 4) – 6y^{2}

Take out common in all terms we get,

(x + 4) (x + 4 – 6y) + y(x + 4 – 6y)

(x – 6y + 4) (x + 4 + y)

**(ii) (x**^{2} – 2x^{2}) – 23(x^{2} – 2x) + 120

^{2}– 2x

^{2}) – 23(x

^{2}– 2x) + 120

(x^{2} – 2x^{2}) – 23(x^{2} – 2x) + 120

Above terms can be written as,

(x^{2} – 2x)^{2} – 15(x^{2} – 2x) – 8(x^{2} – 2x) + 120

Take out common in all terms we get,

(x^{2} – 2x) (x^{2} – 2x – 15) – 8(x^{2} – 2x – 15)

(x^{2} – 2x – 15) (x^{2} – 2x – 8)

**More Solutions:**