Simplify each each expression. Multiply the two polynomials and write your answer in standard form. (4x^2+1)(4x^2-1)
To simplify the expression (4x^2+1)(4x^2-1), we can use the distributive property to multiply the two polynomials:
(4x^2+1)(4x^2-1)
= 4x^2(4x^2) + 4x^2(-1) + 1(4x^2) + 1(-1)
= 16x^4 - 4x^2 + 4x^2 - 1
= 16x^4 - 1
Therefore, the result of multiplying the two polynomials is 16x^4 - 1 in standard form.