Question

find the product (x+3)(x-5)​

Answer 1

$\red{ Product \:of \:(x+3)(x-5)}$

/* By Algebraic Identity */

$\boxed{\pink{ (x+a)(x+b) = x^{2} + (a+b)x + ab }}$

$= (x + 3 )[ x + (-5) ]$

$Here, \: a = 3 \: and \: b = -5$

$= x^{2} + [ 3+ (-5) ] x + 3 \times (-5)$

$= x^{2} + (3-5)x - 15$

$= x^{2} - 2x - 15$

Therefore.,

$\red{ Product \:of \:(x+3)(x-5)}\green {= x^{2} - 2x - 15}$

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