The resulting simplified form of the expression is (4x +3)(4x-3)
Given the polynomial equation 16x^2-9
This can be expressed as the square of monomials as shown:
16x^2 = (4 * 4 * x * x)
16x^2 = (4x)^2
Similarly, 9 = 3^2
Substituting into the expression, we will have:
16x^2-9 = (4x)^2 - 3^2
According to difference of two square a^2 - b^2 = (a+b)(a-b)
(4x)^2 - 3^2 = (4x +3)(4x-3)
Hence the resulting simplified form of the expression is (4x +3)(4x-3)
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