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Find the product. (i) (5-2x)(3+x) (ii) (...

Find the product. (i) `(5-2x)(3+x)` (ii) `(x+7y)(7x-y)` (iii) `(a^2+b)(a+b^2)` (iv) `(p^2-q^2)(2p+q)`

Text Solution

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`(i) (5 - 2x)(3 + x)`
`= 5(3 + x) - 2x(3 + x)`
`= 15 + 5x - 6x - 2x^2`
`= 15 - x - 2x^2`
`(ii) (x + 7y)(7x - y)`
`= x(7x - y) + 7y(7x - y)`
`= 7x^2 - xy + 49xy - 7y^2`
`= 7x^2 + 48xy - 7y^2`
...
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