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Find the following products using appro...

Find the following products using appropriate identities:`(i)\ (x+3)\ (x+3)\ \ \ \ \ \ \ \ (i i)\ (x 3)(x+5)`

Text Solution

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`(i) (x+3)(x+3) = (x+3)^2`
As, `(a+b)^2 = a^2+2ab+b^2`
` (x+3)^2=x^2+2*3*x+3^2==x^2+6x+9`

`(ii) (x-3)(x+5) = (x+(-3))+(x+5)`
As,`(x+a)(x+b) = x^2+(a+b)x +ab`
`(x+(-3))+(x+5) = x^2+(-3+5)x+(-3)(5)`
`=x^2+2x-15`
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