Multiply the binomials. (i) `(2x+5) and (4x-3)` (ii) `(y-8) and (3y-4)` (iii) `(25l-05m) and (25l+05m)` (iv) `(a+3b) and (x+5)` (v) `(2pq+3q^2) and (3pq-2q^2)` (vi) `(3/4(a^2)+3b^2) and ((a^2)-2/3 (b^2))`

Explanation

`(i) (2x + 5) × (4x - 3)`

`= 2x × (4x - 3) + 5 × (4x - 3)`

`= 8x^2 - 6x + 20x - 15`

`= 8x^2 + 14x - 15 `

`(ii) (y - 8) × (3y - 4) = y × (3y - 4) - 8 × (3y - 4)`

`= 3y^2 - 4y - 24y + 32`

`= 3y^2 - 28y + 32`

`(iii) (25l - 05m) × (25l + 05m)`

...