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Multiply the binomials. (i) (2x+5) and...

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))`

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Let's solve the given problems step by step. ### (i) Multiply the binomials: (2x + 5) and (4x - 3) 1. **Distribute each term in the first binomial to each term in the second binomial:** - \(2x \cdot 4x = 8x^2\) - \(2x \cdot (-3) = -6x\) - \(5 \cdot 4x = 20x\) ...
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