Answer :

**(i)** (x^{2} - 5) (x + 5 ) + 25

Opening the brackets we get,

= x^{2}(x + 5 ) - 5 (x + 5) + 25

= x^{3} + 5 x^{2} - 5 x - 25 + 25

= x^{3} + 5 x^{2} - 5 x

**(ii) **(a^{2} + 5) (b^{3} + 3) + 5

Opening the brackets we get,

= a^{2} (b^{3 }+ 3) + 5 (b^{3} + 3) + 5

= a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 15 + 5

= a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 20

**(iii)**

= t^{3} - st + s^{2} t^{2} - s^{3}

**(iv)**

Find the product of

……………………………………………………(i)

Find the product of

……………………………………………………(ii)

On opening the bracket ……………………………….(iii)

On adding equations (i), (ii) and (iii)

**(v)**

Find the product of

……………………………………………………(i)

Find the product of

……………………………………………………(ii)

On adding equations (i) and (ii)

**(vi)**

Find the product of

**(vii)**

Find the product of

…………………………………..(i)

Adding to equation (i)

**(viii) **

Find the product of

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