Question

multiply the following binomials. $(4a^{2}-2b)(4a^{2}+2b)?$

Explanation:

Step1: Recognize difference of squares

This is of the form $(x-y)(x+y)=x^2-y^2$, where $x=4a^2$, $y=2b$.

Step2: Square the first term

$(4a^2)^2 = 16a^4$

Step3: Square the second term

$(2b)^2 = 4b^2$

Step4: Subtract the two results

$16a^4 - 4b^2$

Answer:

$16a^4 - 4b^2$