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Use the identity (x+a)(x+b)=x^2+(a+b)x+a...

Use the identity `(x+a)(x+b)=x^2+(a+b)x+ab` to find the following products. (i) `(x+3)(x+7)` (ii) `(4x+5)(4x+1)` (iii) `(4x+5)(4x+1)` (iv) `(4x+5)(4x-1)` (v) `(2x+5y)(2x+3y)` (vi) `(2a^2+9)(2a^2+5)` (vii) `(xyz-4)(xyz-2)`

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To solve the given products using the identity \((x+a)(x+b) = x^2 + (a+b)x + ab\), we will apply the identity step by step for each part of the question. ### (i) \((x+3)(x+7)\) 1. Identify \(a\) and \(b\): - \(a = 3\) - \(b = 7\) ...
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