Simplify.

(i) (x² - 5) (x + 5 ) + 25

Opening the brackets we get,

= x²(x + 5 ) - 5 (x + 5) + 25

= x³ + 5 x² - 5 x - 25 + 25

= x³ + 5 x² - 5 x

(ii) (a² + 5) (b³ + 3) + 5

Opening the brackets we get,

= a² (b³ + 3) + 5 (b³ + 3) + 5

= a² b³ + 3 a² + 5 b³ + 15 + 5

= a² b³ + 3 a² + 5 b³ + 20

(iii)

= t³ - st + s² t² - s³

(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