Question

The product of the polynomial p(x = 4x -3 q (x)=4x+3

Answer 1

identity is used : (a)^2-(b)^2

(a+b)×(a-b)

Answer 2

$Given \: two \: polynomials \: p(x) = 4x-3$

$and \: q(x) = 4x + 3$

$Product \:of \: p(x) \:and \: q(x)$

$= p(x) \times q(x)$

$= (4x-3)(4x+3)$

$= (4x)^{2} - 3^{2}$

/* By Algebraic Identity */

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

$= 16x^{2} - 9$

Therefore .,

$\red{ Product \:of \: p(x) \:and \: q(x)}$

$\green {= 16x^{2} - 9}$

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