# Find the product

(i) (2x + y) (2x + y)

2x (2x + y) + y (2x + y)

= 4x2 + 2xy + 2xy + 3y

= 4x2 + 4xy + 3y

(ii) (a + 2b) (a – 2b)

a (a – 2b) + 2b (a – 2b)

= a2 – 2ab + 2ab – 4b2

= a2 – 4b2

(iii)

a2 (a2 – bc) + bc (a2 – bc)

= a4 – a2bc + bca2 – b2c2

= a4 – b2c2

(iv)

( + ) - ( + )

= x2 + yx -

= x2 - y2

(v)

2x (2x - ) + (2x - )

= 4x2 - + -

= 4x2

(vi)

2a3 (2a3 – b3) + b3 (2a3 – b3)

= 4a6 – 2a3b3 + 2a3b3 – b6

= 4a6 – b6

(vii)

x4 (x4 - ) + (x4 - )

= x8 – 2x2 + 2x2 -

= (x8 - )

(viii)

x3 (x3 - ) + (x3 - )

= x6 – 1 + 1 -

= x6 -

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