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Use suitable identities to find the fol...

Use suitable identities to find the following products:
(i) `(x+4)(x+10)`
(ii) `(x+8)(x-10)`
(iii) `(3x+4)(3x-5)`
(iv) `(y^2+3/2)(y^2-3/2)`
(v) `(3-2x)(3+2x)`

Text Solution

AI Generated Solution

To solve the given products using suitable identities, we can follow these steps: ### (i) \((x+4)(x+10)\) 1. **Identify the identity**: We will use the identity \((x + a)(x + b) = x^2 + (a + b)x + ab\). 2. **Assign values**: Here, \(a = 4\) and \(b = 10\). 3. **Calculate \(a + b\)**: \[ ...
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