Find the product of the following binomials:

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

(ii) (a + 2b) (a – 2b)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(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 -