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Step-by-step explanation:
Solution :-
i) Given that (5x+3)(2x+4)
=> 5x(2x+4)+3(2x+4)
=> 10x²+20x+6x+12
=> 10x²+36x+12
ii) Given that (7p-3q)(2p+5q)
=> 7p(2p+5q)-3q(2p+5q)
=> 14p²+35pq-6pq-15q²
=> 14p²+29pq-15q²
iii)Given that [(2/5)a+b][a²-(1/5)b²]
=> (2/5)a[a²-(1/5)b²]+b[a²-(1/5)b²]
=> (2/5)a³-(2/25)ab²+a²b-(1/5)b³
iv) Given that (m²n-5)(6-mn²)
=> m²n(6-mn²)-5(6-mn²)
=> 6m²n-m³n³-30+5mn²
v) Given that (4x²+7y³)(3xy-2y²)
=> 4x²(3xy-2y²)+7y³(3xy-2y²)
=> 12x³y-8x²y²+21xy⁴-14y⁵
vi) Given that (1.1x+2.7y)(1.1x-2.7y)
This is in form of (a+b)(a-b)
Where , a = 1.1 x and b = 2.7y
We know that
(a+b)(a-b) = a²-b²
(1.1x+2.7y)(1.1x-2.7y)
=> (1.1x)²-(2.7y)²
=> 1.21x²-7.29y²
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